Editorial Feature

Quantum Fundamentals – Nonlocality

Quantum mechanics has long challenged our intuitive understanding of how nature works, but few ideas are as counterintuitive as quantum nonlocality. Despite decades of theoretical progress and increasingly precise experiments that support its validity, quantum nonlocality continues to puzzle scientists and defy classical expectations. 

A representation of a particle interacting at a distance

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What Is Quantum Nonlocality?

Both intuition and early educational development demand that interacting with an object requires either physical contact or some form of deliberate communication. This idea, known as locality, holds that for one object to influence another, a signal must travel between them at a finite speed, no faster than the speed of light. But quantum mechanics introduces a strikingly different perspective. According to the concept of nonlocality, spatially separated systems can be linked in ways that defy any explanation based on local interactions. It's a phenomenon that challenges not just our intuition, but the very framework of classical physics.1 Quantum nonlocality, a phenomenon that gives rise to entanglement, not only opens the door to new technological possibilities but also challenges our fundamental understanding of nature.

Albert Einstein famously referred to this puzzling connection as "spooky action at a distance," capturing the essence of a mysterious bond between particles whose behaviors remain tightly linked, no matter how far apart they are.1

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EPR Paradox and the Debate Over Local Realism

In order to understand quantum nonlocality, consider two distant systems, one for Alice and one for Bob, connected by a common quantum state, ψ. Their outcomes, a and b, are connected when they each take a measurement. Quantum correlations stand apart from the everyday correlations we encounter all around us. While classical correlations arise from shared histories or common causes, quantum correlations, such as those seen in entangled particles, cannot be explained by any local mechanism. They exhibit patterns that defy classical logic, highlighting the fundamentally different nature of quantum systems. Neither pre-existing information nor "hidden variables" can account for them.1

This resulted in the groundbreaking 1935 study of Einstein, Podolsky, and Rosen (EPR), which raised doubts about the comprehensiveness of quantum mechanics and presented the main problem: Is it possible for quantum mechanics to be reconciled with the intuitive ideas of local realism?2

Bell’s Theorem: A Theoretical Breakthrough

Physicist John Bell offered a means to test quantum nonlocality in 1964.3 He showed that any theory based on local hidden variables must obey a specific mathematical condition known as Bell’s inequality. If experimental results violate this inequality, it means no local hidden variable explanation can fully account for the observed correlations.

Remarkably, quantum correlations have consistently broken Bell’s inequality in numerous experiments. This isn’t just a curious feature of quantum physics; it’s a profound statement about the nature of reality. It reveals that nonlocality isn’t an abstract concept, but an inherent part of how nature operates.

The misunderstanding between nonlocal correlations and nonlocal signaling is one of the reasons why many physicists find nonlocality unsettling. In direct opposition to Einstein's theory of relativity, the latter would enable instantaneous communication.1,3 However, it's important to note that the nonlocal correlations in quantum mechanics are non-signaling, meaning they can't be used to transmit information faster than the speed of light. This key distinction helps ease much of the initial discomfort with the idea of nonlocality. While entangled particles exhibit instant correlations across distance, these effects can't be harnessed to violate causality or communicate instantaneously, preserving the core principles of relativity.

Quantum entanglement can be used to create a shared, random pattern of data that is provably safe, but it cannot be used to transmit a message. As a result, methods that create truly random bit strings by taking advantage of quantum nonlocality have been developed.

Experimental Verifications of Bell’s Theorem

In the 1970s, scientist John Clauser conducted groundbreaking tests that initially showed a breach of Bell's inequality, but they contained certain loopholes.4 Since then, a number of increasingly complex tests have gradually filled in these gaps, offering a convincing argument for nonlocality. For example, the pioneering experiment in 1980 by Nobel Laureate Alain Aspect, demonstrated a clear and compelling violation of Bell's inequalities, by employing entangled photons and remote detectors, thereby proving the quantum mechanical prediction of nonlocality.5

Numerous studies have been conducted on the "spooky action at a distance" that Einstein famously described. To test whether these quantum connections could be caused by some influence traveling at a finite, perhaps even faster-than-light speed, researchers have designed carefully controlled experiments. By leveraging factors like the Earth’s rotation and the cosmic microwave background as reference frames, scientists have set extraordinarily high lower bounds on the speed of any such hypothetical signal. The results have effectively ruled out this possibility, reinforcing the conclusion that no conventional influence, however fast, can explain quantum nonlocality.1 To show that the connections occur without any particular time sequence, other tests have even moved Alice and Bob in respect to one another. This indicates that there is no classical "influencing" between the two systems when quantum correlations take place.

Implications of Nonlocality

A prominent technology that has utilized quantum nonlocality is quantum key distribution for quantum communication.1,6 Quantum nonlocality serves as a foundational resource for device-independent protocols; approaches that don’t rely on trusting or making assumptions about the inner workings of the devices used. Instead, the presence of nonlocal correlations can be verified directly through observed outcomes, enabling secure and reliable applications, such as quantum cryptography, even when the devices themselves are untrusted or potentially flawed. Nonlocal correlations, however, will constitute the foundation of a new generation of "device-independent" QKD systems. A violation of Bell's inequality would act as an inbuilt, infallible assurance that there are no side channels in these systems. Because of this remarkable trait, you could theoretically purchase a cryptographic system from an enemy and ensure that it would operate correctly by observing Bell-violating correlations.

Philosophical and Interpretational Questions

Entanglement is essential in contemporary quantum physics, while space and time play a less significant role. On the other hand, non-local correlations are not allowed in relativity, which places spacetime at its very center. The conflict between these two fundamental ideas of contemporary physics raises the possibility that nonlocal quantum correlations could originate outside of spacetime. This significant insight forces a new description that explains the emergence of these relationships. Nonlocality is now a well-established feature of nature with significant ramifications for the comprehension of the cosmos and the development of technology, not merely a fascinating theoretical argument.

Future Directions in Testing Nonlocality

Expanding the scope of entanglement experiments will be the main goal of future nonlocality research. The use of space-based experiments, like those carried out by the Chinese Micius satellite, which has shown entanglement over large distances, is a crucial step in this direction.7 By exploring beyond simple two-particle setups to more complex systems, such as multipartite entanglement, the objective is to lay the groundwork for a future quantum internet.

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References and Further Reading

  1. Gisin, Nicolas. "Quantum nonlocality: how does nature do it?." Science 326, no. 5958 (2009): 1357-1358.
  2. Einstein, A., B. Podolsky, and N. Rosen. "EinsteinPodolskyRosen." Phys. Rev. 47 (1935): 777.
  3. Freedman, Stuart J., and John F. Clauser. "Experimental test of local hidden-variable theories." Physical review letters 28, no. 14 (1972): 938.
  4. Clauser, John F., and Abner Shimony. "Bell's theorem. Experimental tests and implications." Reports on Progress in Physics 41, no. 12 (1978): 1881.
  5. Schirber, Michael. "Nobel prize: Quantum entanglement unveiled." Physics 15 (2022): 153.
  6. Cavalcanti, Daniel, Mafalda L. Almeida, Valerio Scarani, and Antonio Acin. "Quantum networks reveal quantum nonlocality." Nature communications 2, no. 1 (2011): 184.
  7. Lu, Chao-Yang, Yuan Cao, Cheng-Zhi Peng, and Jian-Wei Pan. "Micius quantum experiments in space." Reviews of Modern Physics 94, no. 3 (2022): 035001.

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Written by

Ilamaran Sivarajah

Ilamaran Sivarajah is an experimental atomic/molecular/optical physicist by training who works at the interface of quantum technology and business development.

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