Impossibility of bipartite full nonlocality, all-versus-nothing proofs,
and pseudo-telepathy in small Bell scenarios
- URL: http://arxiv.org/abs/2310.10600v1
- Date: Mon, 16 Oct 2023 17:28:29 GMT
- Title: Impossibility of bipartite full nonlocality, all-versus-nothing proofs,
and pseudo-telepathy in small Bell scenarios
- Authors: Yuan Liu, Ho Yiu Chung, Emmanuel Zambrini Cruzeiro, Junior R.
Gonzales-Ureta, Ravishankar Ramanathan, Ad\'an Cabello
- Abstract summary: We show that according to quantum mechanics, nature does not allow for FN/AVN/PT in the (3,3;3,2) Bell scenario.
We also study (3,3;3,3) and found no example of FN/AVN/PT.
- Score: 3.1981483719988235
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show that the following statements are equivalent: (i) A quantum
correlation p is in a face of the nonsignaling polytope that does not contain
local points. (ii) p has local fraction zero; i.e., p has full nonlocality
(FN). (iii) p provides an all-versus-nothing (AVN) or
Greenberger-Horne-Zeilinger-like proof of nonlocality. (iv) p is a pseudo
telepathy (PT) strategy. These connections imply that a long-standing question
posed by Gisin, M\'ethot, and Scarani of whether quantum PT is possible with
minimal requirements is fundamental for quantum information, quantum
computation, and foundations of quantum mechanics, and can be addressed by a
variety of strategies. Here, by combining different methods, we show that the
answer is negative: according to quantum mechanics, nature does not allow for
FN/AVN/PT in the (3,3;3,2) Bell scenario. Moreover, we show that FN/AVN/PT is
also impossible in (3,2;3,4). We also study (3,3;3,3) and found no example of
FN/AVN/PT. We discuss the implications of these results and further
applications of the methods presented.
Related papers
- The Power of Unentangled Quantum Proofs with Non-negative Amplitudes [55.90795112399611]
We study the power of unentangled quantum proofs with non-negative amplitudes, a class which we denote $textQMA+(2)$.
In particular, we design global protocols for small set expansion, unique games, and PCP verification.
We show that QMA(2) is equal to $textQMA+(2)$ provided the gap of the latter is a sufficiently large constant.
arXiv Detail & Related papers (2024-02-29T01:35:46Z) - Minimum full nonlocality, all versus nothing nonlocality, and quantum
pseudo telepathy [0.0]
We show that the simplest bipartite FN/AVN/PT is equivalent to a specific type of Kochen-Specker (KS) set.
This scenario is small enough to allow observation of qutrit-qutrit FN/AVN/PT and to connect the Bell and KS theorems in one experiment.
arXiv Detail & Related papers (2023-11-29T15:38:38Z) - Nonlocality under Computational Assumptions [51.020610614131186]
A set of correlations is said to be nonlocal if it cannot be reproduced by spacelike-separated parties sharing randomness and performing local operations.
We show that there exist (efficient) local producing measurements that cannot be reproduced through randomness and quantum-time computation.
arXiv Detail & Related papers (2023-03-03T16:53:30Z) - Towards a minimal example of quantum nonlocality without inputs [0.41942958779358674]
In the network scenario, it is possible to demonstrate quantum nonlocality without the need for measurements inputs.
We present examples involving output cardinalities of $3-3-3$ and $3-3-2$.
arXiv Detail & Related papers (2022-07-18T11:50:56Z) - Experimental demonstration of optimal unambiguous two-out-of-four
quantum state elimination [52.77024349608834]
A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements.
Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
arXiv Detail & Related papers (2022-06-30T18:00:01Z) - Proofs of network quantum nonlocality aided by machine learning [68.8204255655161]
We show that the family of quantum triangle distributions of [DOI40103/PhysRevLett.123.140] did not admit triangle-local models in a larger range than the original proof.
We produce a large collection of network Bell inequalities for the triangle scenario with binary outcomes, which are of independent interest.
arXiv Detail & Related papers (2022-03-30T18:00:00Z) - Efficient Bipartite Entanglement Detection Scheme with a Quantum
Adversarial Solver [89.80359585967642]
Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits.
We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
arXiv Detail & Related papers (2022-03-15T09:46:45Z) - Creating quantum correlations in generalized entanglement swapping [0.0]
We study how different types of quantum correlations can be established as the consequence of a generalized entanglement swapping protocol.
This study provides an operational tool to generate different types of single parameter families of quantum correlated states.
arXiv Detail & Related papers (2021-09-29T09:59:53Z) - Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal [0.0]
We show that noisy N-partite GHZ quantum states as well as the 3-partite W quantum state can produce such correlations.
This proves, if the operational predictions of quantum theory are correct, that Nature's nonlocality must be boundlessly multipartite in any causal GPT.
arXiv Detail & Related papers (2021-05-19T20:05:55Z) - Single trusted qubit is necessary and sufficient for quantum realisation
of extremal no-signaling correlations [0.2085467441379275]
We show that quantum statistics can never reproduce an extremal non-local point within the set of no-signaling boxes.
We prove a positive result showing that already a single trusted qubit is enough for quantum theory to produce a self-testable extremal point.
arXiv Detail & Related papers (2020-04-30T13:52:01Z) - Escape from the Quantum Pigeon Conundrum [52.77024349608834]
The Pigeon Counting Principle (PCP) states that if one distributes three pigeons among two boxes there must be at least two pigeons in one of the boxes.
Here we prove via a set of operator identities that the PCP is not violated within quantum mechanics, regardless of interpretation.
arXiv Detail & Related papers (2020-02-05T17:30:19Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.