Classical and quantum complementarity

Galazo, Raquel; Bartolomé, Irene; Ares, Laura; Luis, Alfredo

doi:10.1016/j.physleta.2020.126849

Cited by 8 publications

(8 citation statements)

References 38 publications

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“…Some of them, such as coherence, correspond to wave description, and some others, like location (or localized position), correspond to particle characterization. Such correspondences were first established quantitatively by Wootters and Zurek [3] and then followed by many others [4][5][6][7][8][9] to achieve a complementarity inequality, V 2 + D 2 ≤ 1, between single quantum object wave interference visibility V and particle location distinguishability D. Recent studies have extended the inequality by considering uncertainty [10], degree of polarization [11][12][13][14][15], total visibility [18], and other coherence measures [16,17]. Apparently, there are still many other specific physical properties such as momentum, spin, etc., that are not accounted by the inequality, which indicates its potential incompleteness.…”

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confidence: 99%

Are Quantum Objects Born with Duality?

Qian,

Agarwal

2019

Preprint

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We study wave-particle duality by exploring for the first time effects of a quantum object's source. A single photon emitted from a pair of nonlocally entangled two-level atoms is specifically analyzed. Surprisingly, duality is found to be a conditional phenomenon depending on the photon's atomic source. It can be tuned maximum, medium, and even minimum (completely absent) by the atomic state purity through an exact quadratic relation that can be called Duality Pythagorean Theorem. The analysis shows a new way of investigating duality by accounting how the single quantum object is created. The result sheds a new light on the fundamental understanding of the completeness of wave-particle duality, and can be tested in various practical physical systems.

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confidence: 99%

Are Quantum Objects Born with Duality?

Qian,

Agarwal

2019

Preprint

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“…On the one hand, there are many proposals prescribing non-linear generalizations of quantum mechanics which could combine in a single dynamical law both the unitary and the non-unitary evolution [13,15,[40][41][42]. On the other hand, there are more or less vague attempts to add to the standard formalism a fundamental source of decoherence.…”

Section: The Quantum Puzzlementioning

confidence: 99%

Analogue gravity simulation of superpositions of spacetimes

Barceló,

Garay,

García-Moreno

2021

Preprint

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We analyze Penrose's ideas concerning the role of gravity in the quantum-mechanical state reduction from the perspective of analogue-gravity models. We first review a line of work which argues that it is not enough to find a satisfactory quantization scheme for gravity in the description of a matter-gravity system. Instead of that; the standard rules of quantum mechanics as they are actually applied to matter systems need to be modified when the gravitational interaction is relevant. Among these ideas we focus on Penrose's argument for the absence of macroscopic quantum superpositions. He argues that such phenomenon has its roots in the idiosyncratic aspects of gravity, which become relevant just when the system is macroscopic and hence able to generate a sufficiently strong gravitational field, and not in the environmental decoherence. We then present an analogue model consisting of a Bose-Einstein condensate in a double well potential, where it is possible to build states that would correspond to putative superpositions of spacetimes. Such configurations are unstable and the source of instability from a microscopic point of view can be related to the abscence of a well-defined causal structure in the effective geometric description. We also discuss some additional lessons that can be taken from these instabilities.

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“…This is the idea of the formalism that we will follow in this work, that has been presented and extensively discussed in Refs. [14,15,16,17,18,19,20]. It is worth noting also that our work is not about the definition or construction of exact joint probabilities P (x, y), but about conditional probabilities once the noisy joint distribution p(x, y) has been obtained by practical means.…”

Section: Introductionmentioning

confidence: 99%

“…Usually this is in the form of observation processes that in classical physics would lead to a legitimate joint probability distribution, but that in quantum physics fail to provide it. This is the idea of the formalism that we will follow in this work, that has been presented and extensively discussed in references [14][15][16][17][18][19][20]. It is worth noting also that our work is not about the definition or construction of exact joint probabilities P(x, y), but about conditional probabilities once the noisy joint distribution p(x, y) has been obtained by practical means.…”

Section: Introductionmentioning

confidence: 99%

Quantum conditional probabilities

Pérez¹,

Luis²

2022

J. Phys. A: Math. Theor.

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We investigate the consistency of conditional quantum probabilities. This is whether there is compatibility between the Kolmogorov-Bayes conditional probabilities and the Born rule. We show that they are not compatible in the sense that there are situations where there is no legitimate density matrix that may reproduce the conditional statistics of the other observable via the Born rule. This is to say that the Gleason theorem does not apply to conditional probabilities. Moreover, we show that when this occurs the joint statistics is nonclassical. We show that conditional probabilities are not equivalent to state reduction, so these results do not affect the validity of the Lüders expression.

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Classical and quantum complementarity

Cited by 8 publications

References 38 publications

Are Quantum Objects Born with Duality?

Are Quantum Objects Born with Duality?

Analogue gravity simulation of superpositions of spacetimes

Quantum conditional probabilities

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