Nobel Prize in Physics 2025: A Revolutionary Discovery in Macroscopic Quantum Mechanics

The 2025 Nobel Prize in Physics has been awarded to three pioneering scientists whose groundbreaking experiments in the 1980s fundamentally transformed our understanding of quantum mechanics and laid the foundation for modern quantum computing. John Clarke from the University of California, Berkeley, Michel H. Devoret from Yale University and UC Santa Barbara, and John M. Martinis from UC Santa Barbara were recognized “for the discovery of macroscopic quantum mechanical tunnelling and energy quantisation in an electric circuit”. Their work demonstrated that the bizarre quantum effects typically confined to the microscopic world could manifest in systems large enough to be held in human hands, bridging the gap between quantum theory and macroscopic reality while enabling revolutionary technological advances in quantum computing, sensing, and cryptography.[1][2][3]

Nobel Prize medal with ‘Physics’ labeled for the 2025 award.

The Quantum Mechanics Revolution and Its Centennial Context

The year 2025 marks the centennial anniversary of quantum mechanics, making this Nobel Prize particularly significant as it celebrates a discovery that brought century-old quantum principles into the macroscopic realm. Quantum mechanics, first developed in the 1920s, describes the behavior of matter and energy at the smallest scales, where particles exhibit counterintuitive properties such as existing in multiple states simultaneously (superposition) and maintaining instantaneous correlations regardless of distance (entanglement). [1][4][5]

Quantum tunneling, one of the most remarkable quantum phenomena, allows particles to pass through energy barriers that would be classically impossible to cross. This effect is fundamental to many natural processes, including radioactive decay and the nuclear fusion reactions that power stars. However, until the work of the 2025 Nobel laureates, quantum tunneling had only been observed at the microscopic scale involving individual atoms and subatomic particles. [5][6][1]

The theoretical foundation for macroscopic quantum effects was laid by Anthony Leggett, who won the 2003 Nobel Prize in Physics for his work on superfluids. In the late 1970s, Leggett predicted that quantum mechanical phenomena, including tunneling, should be observable in macroscopic superconducting systems under the right conditions. This prediction challenged the conventional wisdom that quantum effects disappear when large numbers of particles are involved. [7][6]

Illustrated portraits of John Clarke, Michel H. Devoret, and John M. Martinis, 2025 Nobel Prize in Physics laureates for discoveries in macroscopic quantum mechanical tunnelling and energy quantisation.

The Nobel-Winning Discovery: Macroscopic Quantum Tunneling

The Experimental Setup and Breakthrough

The revolutionary experiments that earned the 2025 Nobel Prize were conducted between 1984 and 1985 at the University of California, Berkeley, where John Clarke led a research group that included postdoctoral researcher Michel Devoret and graduate student John Martinis. Their experimental approach was elegantly simple yet technically demanding, requiring extraordinary precision and careful control of environmental factors.[1][2][7]

The team constructed an electrical circuit using superconducting materials – substances that conduct electricity with zero resistance when cooled below a critical temperature. The key component of their circuit was a Josephson junction, consisting of two superconductors separated by an extremely thin insulating barrier. This device, based on theoretical work by Brian Josephson in the early 1960s, allows quantum effects to manifest in electrical circuits.[2][7][1]

When the researchers passed a current through their superconducting circuit, they observed something extraordinary: the billions of Cooper pairs (paired electrons that enable superconductivity) moving through the system behaved as if they were a single, giant quantum particle filling the entire circuit. This macroscopic quantum system initially remained in a zero-voltage state, trapped as if behind an energy barrier that classical physics would predict it could never cross.[1][2]

Observing Quantum Tunneling at Macroscopic Scale

The breakthrough came when Clarke, Devoret, and Martinis demonstrated that their macroscopic system could escape the zero-voltage state through quantum tunneling. By carefully monitoring the circuit and gradually increasing the current, they observed the system spontaneously transitioning to a higher energy state – detected by the sudden appearance of a voltage across the junction.[1][2][8]

This observation was revolutionary because it showed that quantum mechanical tunneling, previously observed only with individual particles, could occur in a system containing billions of particles and measuring several micrometers across. The circuit was “big enough to be held in the hand,” according to the Nobel Committee, representing a scale millions of times larger than individual atoms.[4][9][6][1]

Energy Quantization in Macroscopic Systems

Beyond demonstrating macroscopic quantum tunneling, the laureates also proved that their system exhibited energy quantization – another fundamental quantum mechanical property. They showed that the circuit could only absorb or emit energy in discrete, specific amounts, exactly as predicted by quantum mechanics.[1][2][8]

To demonstrate quantization, the researchers introduced microwaves of varying frequencies into their zero-voltage state system. They found that only certain specific frequencies were absorbed, corresponding to transitions between quantized energy levels. This provided compelling evidence that their macroscopic electrical circuit was behaving according to quantum mechanical principles, with energy levels as discrete as those found in individual atoms.[8]

Scientific illustration of quantum tunneling phenomenon

Theoretical Foundations and Scientific Context

The Josephson Effect and Superconductivity

The experimental success of Clarke, Devoret, and Martinis built upon decades of theoretical and experimental developments in superconductivity and quantum electronics. The Josephson effect, predicted by Brian Josephson in 1962 and for which he won the 1973 Nobel Prize, describes the quantum mechanical tunneling of Cooper pairs through thin insulating barriers between superconductors.[10][11]

In a Josephson junction, the supercurrent flowing through the device depends on the quantum mechanical phase difference between the two superconducting electrodes. This phase sensitivity makes Josephson junctions extraordinarily sensitive to external magnetic fields and enables their use as the building blocks for quantum devices.[11][12][13]

The nonlinear inductance of Josephson junctions is crucial for creating quantum systems with discrete energy levels. Unlike linear circuit elements such as capacitors and inductors, which produce degenerate energy level spacings unsuitable for qubits, the Josephson junction’s nonlinearity breaks this degeneracy and enables the restriction of system dynamics to just two quantum states.[12][11]

Macroscopic Quantum Phenomena Theory

The theoretical framework for understanding macroscopic quantum phenomena in superconducting circuits draws from several areas of physics. Circuit quantum electrodynamics (cQED), developed in the early 2000s, provides the theoretical foundation for describing superconducting circuits as artificial atoms. This framework, inspired by cavity quantum electrodynamics, enables precise theoretical predictions of quantum behavior in engineered superconducting systems.[14][15]

The quantum mechanical description of superconducting circuits involves treating the electromagnetic modes in the circuit as quantum harmonic oscillators, similar to photons in a cavity. The Josephson junction acts as a nonlinear element that couples these modes and creates the anharmonicity necessary for forming qubits.[12][16][14]

Timeline of Key Milestones in Superconducting Quantum Computing from Josephson Effect to Nobel Prize

Technological Impact and Applications

Foundation of Superconducting Quantum Computing

The work of the 2025 Nobel laureates directly enabled the development of superconducting quantum computers, which have become one of the most promising approaches to building practical quantum computing systems. Major technology companies including Google, IBM, Rigetti, and Amazon have invested billions of dollars in developing superconducting quantum processors based on the principles demonstrated by Clarke, Devoret, and Martinis. [17][18][19]

Superconducting qubits – the quantum bits that store and process information in quantum computers – are direct descendants of the circuits used in the Nobel-winning experiments. Various types of superconducting qubits have been developed, including charge qubits, flux qubits, phase qubits, and the widely-used transmon qubits. The transmon qubit, proposed in 2007 by researchers including Devoret, has become the dominant architecture used by companies like Google and IBM. [14][7][20][17]

Quantum Supremacy and Commercial Applications

The impact of the laureates’ work extends far beyond academic research. In 2019, a team led by John Martinis at Google achieved “quantum supremacy” using a 53-qubit superconducting quantum processor called Sycamore. This milestone demonstrated that a quantum computer could perform a specific calculation faster than any classical computer, marking a historic achievement in the field. [9][21]

Google’s quantum supremacy experiment directly relied on the principles established by the Nobel laureates’ 1980s research. The superconducting qubits in the Sycamore processor are based on Josephson junctions and operate through the same quantum mechanical tunneling and energy quantization effects discovered by Clarke, Devoret, and Martinis. [22][9]

More recently, in late 2024, Google announced its Willow quantum chip, which represents further advances in superconducting quantum computing technology. These developments continue to build upon the foundational discoveries recognized by the 2025 Nobel Prize. [22]

SQUID Technology and Scientific Applications

Beyond quantum computing, the laureates’ work also contributed to the development of Superconducting Quantum Interference Devices (SQUIDs), ultra-sensitive magnetometers capable of detecting magnetic fields as small as 10^-18 Tesla. SQUIDs have found widespread applications in scientific research, medical diagnostics, and geophysical exploration.[23][24][25][26]

John Clarke pioneered many SQUID applications, including detection of nuclear magnetic resonance signals at ultralow frequencies, geophysical surveying, nondestructive evaluation of materials, and biosensors for measuring magnetic fields generated by the human brain and heart. SQUIDs are currently used in medical facilities worldwide for magnetoencephalography (MEG) and magnetocardiography, enabling non-invasive monitoring of brain and heart activity.[7][27][23]

The sensitivity of SQUID devices has made them invaluable for fundamental physics research, including searches for dark matter candidates such as axions. Clarke’s group developed low-noise superconducting quantum amplifiers based on SQUIDs for the Axion Dark Matter Experiment (ADMX), which seeks to detect one of the most promising dark matter candidates.[7]

The Path to Recognition and Career Achievements

Individual Contributions and Career Trajectories

John Clarke, born in Cambridge, UK, in 1942, completed his undergraduate and doctoral studies at Cambridge University before joining UC Berkeley in 1969. Throughout his career, Clarke has been recognized as a world leader in superconducting electronics and quantum device physics. His honors include the Fritz London Memorial Award for low temperature physics, the National Academy of Sciences Comstock Prize in physics, and fellowship in the Royal Society of London.[23][7][28]

Michel Devoret, born in Paris in 1953, earned his PhD from Paris-Sud University in 1982 before joining Clarke’s group as a postdoc. After the Nobel-winning research, Devoret established his own research group at the French Atomic Energy Commission (CEA) at Saclay, where he continued pioneering work on quantum electronics. In 2002, he joined Yale University, where he became a founding member of the Yale Quantum Institute and made crucial contributions to the development of circuit quantum electrodynamics.[1][14][15][29]

John Martinis, born in 1958, was a graduate student in Clarke’s group during the groundbreaking experiments. After completing his PhD at UC Berkeley in 1987, Martinis joined UC Santa Barbara, where he established himself as a leader in quantum device physics. In 2014, Google recruited Martinis and his team to lead their quantum computing effort, resulting in the historic quantum supremacy demonstration in 2019. Martinis left Google in 2020 and co-founded the quantum computing startup Qolab in 2022.[30][28][31][32][21][33][1]

Recognition and Scientific Impact

The 2025 Nobel Prize represents the culmination of decades of recognition for the laureates’ contributions to quantum physics and technology. The Royal Swedish Academy of Sciences noted that their work “provided opportunities for developing the next generation of quantum technology, including quantum cryptography, quantum computers, and quantum sensors”.[1][34]

The prize carries particular significance as it recognizes experimental physics at its finest – a carefully designed and executed series of experiments that revealed fundamental quantum phenomena at an unprecedented scale. As noted by committee member Olle Eriksson, “It is wonderful to be able to celebrate the way that century-old quantum mechanics continually offers new surprises. It is also enormously useful, as quantum mechanics is the foundation of all digital technology”.[9][35][1]

Contemporary Quantum Computing Landscape

Major Players and Current Developments

The quantum computing industry that emerged from the laureates’ foundational work now represents a multi-billion-dollar sector with significant government and private investment. IBM Quantum has developed a roadmap toward 1000-qubit systems and has made quantum computers available through cloud services. The company’s approach focuses on modular quantum processors and error correction schemes necessary for fault-tolerant quantum computing.[36][18][19]

Google Quantum AI, where Devoret currently serves as chief scientist, continues to push the boundaries of superconducting quantum computing. Their recent Willow chip demonstrates advances in quantum error correction, a crucial requirement for building practical quantum computers. Google’s approach emphasizes achieving quantum error correction thresholds while scaling up the number of qubits.[22][33]

Other major players include Rigetti Computing, which focuses on superconducting quantum processors with strong classical-quantum integration, and IQM, a European company developing superconducting quantum computers for both research and commercial applications. Amazon’s Braket quantum cloud service provides access to various quantum computing platforms, including superconducting systems.[18][19]

Challenges and Future Prospects

Despite remarkable progress, significant challenges remain in realizing the full potential of quantum computing. Quantum error correction represents perhaps the greatest technical hurdle, requiring quantum computers to maintain coherent quantum states for extended periods while performing complex calculations. Current superconducting qubits can maintain quantum coherence for microseconds to milliseconds, but practical quantum computing applications may require coherence times orders of magnitude longer.[37][36][21][19]

Scalability presents another major challenge, as building quantum computers with millions of qubits will require advances in fabrication, control systems, and system integration. John Martinis’ current work at Qolab focuses on addressing these challenges through improved fabrication techniques and system-level engineering approaches.[30][19]

The development of quantum algorithms that can provide practical advantages over classical computers remains an active area of research. While quantum supremacy demonstrations have shown quantum computers can outperform classical computers on specifically designed problems, finding applications with real-world utility continues to drive research efforts.[36][19]

Scientific and Societal Implications

Impact on Fundamental Physics

The Nobel laureates’ discovery has profoundly impacted our understanding of the quantum-to-classical transition and the fundamental limits of quantum mechanics. By demonstrating quantum effects in macroscopic systems, their work challenged the notion that quantum mechanics applies only to microscopic particles and opened new avenues for exploring the boundaries between quantum and classical physics.[5][6]

The concept of macroscopic quantum superposition, exemplified by the laureates’ circuits, has been compared to Schrödinger’s famous thought experiment involving a cat that is simultaneously alive and dead. The superconducting circuits act as “artificial atoms” that can exist in quantum superposition states despite containing billions of particles.[38][17][6]

Cryptographic and Security Implications

The quantum computing technology enabled by the Nobel laureates’ work has significant implications for cybersecurity and cryptography. Quantum computers have the theoretical capability to break many of the encryption algorithms currently used to secure internet communications, financial transactions, and government communications. This has led to intensive research into “quantum-resistant” or “post-quantum” cryptographic methods.[36][39]

Conversely, quantum technology also enables new forms of secure communication through quantum cryptography and quantum key distribution. These approaches use the fundamental principles of quantum mechanics to create communication channels that are theoretically unbreakable.[39][36]

Global Quantum Technology Race

The transformative potential of quantum technology has sparked a global race for quantum supremacy among nations. The United States, China, European Union, and other countries have launched major quantum technology initiatives with billions of dollars in funding. India’s National Quantum Computing Mission aims to develop functional quantum computers by 2031, representing the growing global recognition of quantum technology’s strategic importance.[36][39]

The United Nations has designated 2025 as the International Year of Quantum Science and Technology, highlighting the global significance of quantum research and the timely nature of the Nobel Prize recognition. This designation acknowledges quantum science as a key driver of future technological advancement and economic competitiveness.[15]

Future Directions and Emerging Applications

Next-Generation Quantum Technologies

Building on the foundation established by the Nobel laureates, researchers are developing next-generation quantum technologies with unprecedented capabilities. Quantum sensors based on superconducting circuits offer sensitivity levels that could revolutionize fields ranging from medical diagnostics to fundamental physics research. These devices could enable detection of gravitational waves from more distant cosmic events, improved magnetic resonance imaging with reduced radiation exposure, and precision measurements of fundamental constants.[34][36]

Quantum simulation represents another promising application, where quantum computers model complex quantum systems that are intractable for classical computers. This approach could accelerate drug discovery by simulating molecular interactions, optimize materials design for batteries and solar cells, and improve understanding of high-temperature superconductivity.[36][34]

Integration with Classical Computing

The future of quantum computing likely involves hybrid systems that combine quantum and classical processing capabilities. These approaches leverage the strengths of both paradigms: quantum computers for specific algorithms where they provide advantages, and classical computers for tasks where they remain superior. Such integration requires advances in quantum-classical interfaces and software architectures that seamlessly coordinate between different computing paradigms.[19][33]

Educational and Societal Impact

The Nobel Prize recognition is expected to further stimulate interest in quantum science education and workforce development. Universities worldwide are expanding quantum science programs, and governments are investing in quantum literacy initiatives to prepare society for the quantum technology revolution. The work of Clarke, Devoret, and Martinis exemplifies how fundamental scientific discoveries can ultimately transform technology and society in ways that may not be immediately apparent.[36][40]

Conclusion

The 2025 Nobel Prize in Physics recognizes a discovery that fundamentally transformed our understanding of quantum mechanics and enabled revolutionary advances in quantum technology. The work of John Clarke, Michel Devoret, and John Martinis in demonstrating macroscopic quantum tunneling and energy quantization in electrical circuits bridged the gap between quantum theory and macroscopic reality, opening pathways to practical quantum computing, ultra-sensitive sensing, and secure communications.[1][34][36]

Their experiments in the 1980s revealed that the strange world of quantum mechanics is not confined to individual atoms and subatomic particles but can manifest in systems large enough to see and manipulate directly. This insight has spawned entire industries focused on quantum technology development and has positioned quantum computing as a key driver of future technological advancement.[6][36][19][1]

The recognition comes at a particularly significant moment, as 2025 marks the centennial of quantum mechanics and quantum technology stands poised to deliver transformative applications across science, technology, and society. From enabling new approaches to drug discovery and materials design to revolutionizing cryptography and computation, the implications of the laureates’ foundational work continue to unfold.[36][39][1]

As we enter what many consider the “quantum age,” the Nobel Prize serves as both a celebration of past achievements and an inspiration for future breakthroughs. The work of Clarke, Devoret, and Martinis exemplifies how curiosity-driven fundamental research can ultimately reshape our technological landscape and expand the boundaries of human knowledge. Their legacy lives on in every quantum computer, every SQUID magnetometer, and every quantum sensor that harnesses the strange and wonderful properties of the quantum world.[23][40][26][41][36]

The 2025 Nobel Prize in Physics thus recognizes not just a single discovery, but the opening of an entire new chapter in the relationship between quantum mechanics and technology – one that promises to define much of 21st-century science and engineering.[41][36]


  1. https://www.nobelprize.org/prizes/physics/2025/press-release/               
  2. https://www.youtube.com/watch?v=IsCp3wIVAy0     
  3. https://www.lindau-nobel.org/news-nobel-prize-in-physics-2025/
  4. https://physicsworld.com/a/john-clarke-michel-devoret-and-john-martinis-win-the-2025-nobel-prize-for-physics/ 
  5. https://www.scientificamerican.com/article/2025-nobel-prize-in-physics-goes-to-researchers-who-brought-quantum/  
  6. https://www.nature.com/articles/d41586-025-03194-2     
  7. https://news.berkeley.edu/2025/10/07/john-clarke-uc-berkeley-emeritus-professor-awarded-2025-nobel-prize-in-physics/      
  8. https://www.nobelprize.org/prizes/physics/2025/popular-information/  
  9. https://www.sciencenews.org/article/quantum-computers-2025-nobel-physics   
  10. https://www.cam.ac.uk/research/news/cambridge-alumnus-awarded-2025-nobel-prize-in-physics
  11. https://web.physics.ucsb.edu/~martinisgroup/classnotes/finland/LesHouchesJunctionPhysics.pdf  
  12. https://www.sciencedirect.com/science/article/abs/pii/S0924809903800379  
  13. https://phas.ubc.ca/~berciu/TEACHING/PHYS502/PROJECTS/17SQUID.pdf
  14. https://news.yale.edu/2025/10/07/yales-michel-h-devoret-wins-2025-nobel-prize-physics   
  15. https://yaledailynews.com/blog/2025/10/08/yale-professor-wins-physics-nobel-prize-for-quantum-mechanics-research/  
  16. https://pmc.ncbi.nlm.nih.gov/articles/PMC3417795/
  17. https://en.wikipedia.org/wiki/Superconducting_quantum_computing  
  18. https://www.spinquanta.com/news-detail/superconducting-quantum-computing-the-future-of-qubits20250214101534  
  19. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5177748       
  20. https://academic.oup.com/nsr/article/12/8/nwaf246/8165689
  21. https://www.science.org/content/article/ibm-casts-doubt-googles-claims-quantum-supremacy  
  22. https://blog.google/inside-google/company-announcements/googler-michel-devoret-awarded-the-nobel-prize-in-physics/  
  23. https://newscenter.lbl.gov/2025/10/07/former-berkeley-lab-scientist-john-clarke-wins-2025-nobel-prize-in-physics/   
  24. https://ece.poriyaan.in/topic/quantum-interference-devices-20132/
  25. https://physlab.org/wp-content/uploads/2016/04/Squid.pdf
  26. https://en.wikipedia.org/wiki/SQUID 
  27. https://crf.iitd.ac.in/All-Facilities-/SQUID-Magnetometer.html
  28. https://en.wikipedia.org/wiki/John_Clarke_(physicist) 
  29. https://www.universite-paris-saclay.fr/en/news/michel-devoret-phd-universite-paris-saclay-nobel-prize-physics-2025
  30. https://www.quantum-machines.co/resources/interview/from-the-first-qubit-to-qolab-john-martinis-on-building-scalable-quantum-systems/ 
  31. https://news.ucsb.edu/2025/022111/ucsb-physics-professors-john-martinis-and-michel-devoret-win-2025-nobel-prize-physics
  32. https://en.wikipedia.org/wiki/John_M._Martinis
  33. https://www.nytimes.com/2025/10/07/science/nobel-prize-physics.html  
  34. https://www.nobelprize.org/all-nobel-prizes-2025/   
  35. https://www.science.org/content/article/physics-nobel-awarded-macro-demonstration-quantum-effects
  36. https://www.drishtiias.com/daily-updates/daily-news-analysis/nobel-prize-in-physics-2025             
  37. https://pennylane.ai/qml/demos/tutorial_sc_qubits
  38. https://economictimes.com/news/science/meet-clarke-devoret-and-martinis-the-2025-nobel-laureates-who-brought-quantum-tunnelling-to-life/articleshow/124360033.cms
  39. https://www.downtoearth.org.in/science-technology/nobel-prize-2025-us-researchers-win-physics-award-for-work-on-quantum-world-foundation-of-digital-technology   
  40. https://m.thewire.in/article/the-sciences/nobel-prize-in-physics-quantum-technology-research 
  41. https://theconversation.com/nobel-physics-prize-awarded-for-pioneering-experiments-that-paved-the-way-for-quantum-computers-266911 
  42. https://vajiramandravi.com/current-affairs/nobel-prize-in-physics/
  43. https://www.nobelprize.org/prizes/physics/2025/prize-announcement/
  44. https://www.reuters.com/science/clarke-devoret-martinis-win-2025-nobel-prize-physics-2025-10-07/
  45. https://en.wikipedia.org/wiki/Nobel_Prize_in_Physics
  46. https://www.nobelprize.org/prizes/physics/2025/summary/
  47. https://www.youtube.com/watch?v=m9FUkAis62s
  48. https://www.youtube.com/playlist?list=PLJE9rmV1-0uAcoE1c3qMTpo3qs5YUv9P9
  49. https://economictimes.com/news/international/world-news/nobel-prize-2025-winners-heres-the-full-list-across-all-categories/articleshow/124336117.cms
  50. https://research-and-innovation.ec.europa.eu/news/all-research-and-innovation-news/eu-funded-physicist-wins-2025-nobel-prize-2025-10-08_en
  51. https://www.aljazeera.com/news/2025/10/7/nobel-prize-for-physics-awarded-for-quantum-mechanic-tunnelling
  52. https://www.reddit.com/r/Physics/comments/1o0ah93/nobel_prize_in_physics_laureates_announced/
  53. https://en.wikipedia.org/wiki/2025_Nobel_Prizes
  54. https://www.youtube.com/watch?v=FTwKy5y8wzs
  55. https://www.youtube.com/watch?v=MiqY_tTZaEg
  56. https://engineering.yale.edu/research-and-faculty/faculty-directory/michel-devoret
  57. https://marie-sklodowska-curie-actions.ec.europa.eu/news/msca-nobel-2025
  58. https://physics.berkeley.edu/people/faculty/john-clarke
  59. https://www.lemonde.fr/en/science/article/2025/10/08/michel-devoret-2025-nobel-prize-in-physics-laureate-i-thought-it-was-a-prank-the-quantum-computer-is-not-here-yet_6746226_10.html
  60. https://postquantum.com/quantum-computing/history-quantum-computing/
  61. https://www.spinquanta.com/news-detail/josephson-junctions-in-superconducting-qubits
  62. https://quantumpoet.com/superconducting-quantum-computing/
  63. https://thequantuminsider.com/2025/10/07/clarke-devoret-and-martinis-win-2025-nobel-prize-in-physics-for-revealing-quantum-effects-in-macroscopic-circuits/
  64. https://www.chemistryworld.com/news/macroscopic-quantum-mechanical-tunnelling-wins-nobel-prize-in-physics/4022281.article
  65. https://link.aps.org/doi/10.1103/PRXQuantum.2.040204
  66. https://en.wikipedia.org/wiki/Quantum_computing
  67. https://physics.aps.org/articles/v18/170
  68. https://www.scribd.com/document/553720281/SQUID
  69. https://arxiv.org/html/2508.05331v1
  70. https://www.ibm.com/think/topics/quantum-computing