Aspects of the phenomenology of interference that are genuinely nonclassical

Catani, Lorenzo; Leifer, Matthew; Scala, Giovanni; Schmid, David; Spekkens, Robert W.

doi:10.1103/physreva.108.022207

Cited by 11 publications

(2 citation statements)

References 53 publications

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“…Moreover, knowing the maximal classical and quantum bound for a more general Bell scenario [39,57,58], for future research, one can extend the method we presented, which is also useful to test the criteria of nonclassicality and determine whether the trend of robustness is a general property that does not depend on the particular qubit-qubit Bell scenario, but it can also be applied for different notions of nonclassicality as well as generalised noncontextuality [59,60].…”

Section: Realising the Fidelity Constraintmentioning

confidence: 99%

On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States

Mandarino

Scala

2023

Entropy

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The theorem developed by John Bell constituted the starting point of a revolution that translated a philosophical question about the nature of reality into the broad and intense field of research of the quantum information technologies. We focus on a system of two qubits prepared in a random, mixed state, and we study the typical behavior of their nonlocality via the CHSH–Bell inequality. Afterward, motivated by the necessity of accounting for inefficiency in the state preparation, we address to what extent states close enough to one with a high degree of nonclassicality can violate local realism with a previously chosen experimental setup.

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Section: Realising the Fidelity Constraintmentioning

confidence: 99%

On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States

Mandarino

Scala

2023

Entropy

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“…[21], which illustrates contextuality through single particle interferences, provides support for this view. However, it is not immediately obvious how quantum interferences relate to nonclassical correlations between separate quantum systems [23][24][25][26]. Taken together, [20] (relating contextuality and nonlocality) and [21] (relating contextuality to interference) suggest a potential route to clarify the relation between nonlocal quantum correlations, and quantum interference between the amplitudes associated with different measurement outcomes.…”

Section: Introductionmentioning

confidence: 99%

Tracing quantum correlations back to collective interferences

Ji,

Hance,

Hofmann

2024

New J. Phys.

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In this paper, we investigate the possibility of explaining nonclassical correlations between two quantum systems in terms of quantum interferences between collective states of the two systems. We achieve this by mapping the relations between different measurement contexts in the product Hilbert space of a pair of two-level systems onto an analogous sequence of interferences between paths in a single-particle interferometer. The relations between different measurement outcomes are then traced to the distribution of probability currents in the interferometer, where paradoxical relations between the outcomes are identified with currents connecting two states that are orthogonal and should therefore exclude each other. We show that the relation between probability currents and correlations can be represented by continuous conditional (quasi)probability currents through the interferometer, given by weak values; the violation of the noncontextual assumption is expressed by negative conditional currents in some of the paths. Since negative conditional currents correspond to the assignment of negative conditional probabilities to measurements results in different measurement contexts, the necessity of such negative probability currents represents a failure of noncontextual local realism. Our results help to explain the meaning of nonlocal correlations in quantum mechanics, and support Feynman’s claim that interference is the origin of all quantum phenomena.

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Insights into Quantum Contextuality and Bell Nonclassicality: a Study on Random Pure Two-Qubit Systems

Scala,

Mandarino

2024

Int J Theor Phys

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Aspects of the phenomenology of interference that are genuinely nonclassical

Cited by 11 publications

References 53 publications

On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States

On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States

Tracing quantum correlations back to collective interferences

Insights into Quantum Contextuality and Bell Nonclassicality: a Study on Random Pure Two-Qubit Systems

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