No-Signaling in Quantum Mechanics

2018 ◽  
Vol 39 (4) ◽  
pp. 376-381
Author(s):  
Mátyás Koniorczyk ◽  
András Bodor
Keyword(s):  
Quantum Mechanics ◽  
No Signaling

scholarly journals Quantum Mechanics and Global Determinism

Quanta ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 40 ◽  
Author(s):  
Emily Christine Adlam
Keyword(s):  
Quantum Mechanics ◽  
Quantum Correlations ◽  
Deterministic Theory ◽  
No Signaling ◽  
Open Question ◽  
Global Determinism

It is proposed that certain features of quantum mechanics may be perspectival effects, which arise because experiments performed on locally accessible variables can only uncover a certain subset of the correlations exhibited by an underlying deterministic theory. This hypothesis is used to derive the no-signaling principle, thus resolving an open question regarding the apparently fine-tuned nature of quantum correlations. Some potential objections to this approach are then discussed and answered.Quanta 2018; 7: 40–53.

scholarly journals Remarks on the preservation of no-signaling principle in parity-time-symmetric quantum mechanics

2020 ◽  
Vol 35 (12) ◽  
pp. 2050090
Author(s):  
Bijan Bagchi ◽  
Suvendu Barik
Keyword(s):  
Quantum Mechanics ◽  
Density Matrix ◽  
The Other ◽  
Reduced Density Matrix ◽  
Entanglement Generation ◽  
Symmetric Quantum ◽  
No Signaling ◽  
Time Symmetric Quantum Mechanics ◽  
Reduced Density

Working within the framework of parity-time-symmetric quantum mechanics, we look into the possibility of entanglement generation and demonstrate that the feature of non-violation of no-signaling principle may hold for the simplest nontrivial case of bipartite systems. Basically, our arguments are based on the computation of the reduced density matrix of one party to justify that the entropy of the other does not change.

scholarly journals On Bell’s Inequality in PT-Symmetric Quantum Systems

2021 ◽  
Vol 3 (3) ◽  
pp. 417-424
Author(s):  
Sarang S. Bhosale ◽  
Biswanath Rath ◽  
Prasanta K. Panigrahi
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Quantum Systems ◽  
Inner Product ◽  
Bell’S Inequality ◽  
Standard Quantum ◽  
Bell's Inequality ◽  
Qubit System ◽  
Symmetric Quantum ◽  
No Signaling

Bell’s inequality is investigated in parity-time (PT) symmetric quantum mechanics, using a recently developed form of the inequality by Maccone [Am. J. Phys. 81, 854 (2013) ] , with two PT-qubits in the unbroken phase with real energy spectrum. It is shown that the inequality produces a bound that is consistent with the standard quantum mechanics even after using Hilbert space equipped with CPT inner product and therefore, the entanglement has identical structure with standard quantum mechanics. Consequently, the no-signaling principle for a two-qubit system in PT-symmetric quantum theory is preserved.

Complementarity between signaling and local indeterminacy

2015 ◽  
Vol 15 (3&4) ◽  
pp. 308-315
Author(s):  
S. Aravinda ◽  
R. Srikanth
Keyword(s):  
Quantum Mechanics ◽  
Singlet State ◽  
Bell’S Theorem ◽  
Bell's Theorem ◽  
Chsh Inequality ◽  
Local Indeterminacy ◽  
No Signaling

The correlations that violate the CHSH inequality are known to have complementary contributions from signaling and local indeterminacy. This complementarity is shown to represent a strengthening of Bell's theorem, and can be used to certify randomness in a device-independent way, assuming neither the validity of quantum mechanics nor even no-signaling. We obtain general nonlocal resources that can simulate the statistics of the singlet state, encompassing existing results. We prove a conjecture due to Hall (2010) and Kar et al. (2011) on the complementarity for such resources.

scholarly journals Violation of no-signaling in higher-order quantum measure theories

2016 ◽  
Vol 14 (05) ◽  
pp. 1650024
Author(s):  
Karthik S. Joshi ◽  
R. Srikanth ◽  
Urbasi Sinha
Keyword(s):  
Quantum Mechanics ◽  
Sum Rules ◽  
Measure Theory ◽  
Probability Measures ◽  
Sum Rule ◽  
The Third ◽  
Quantum Measure ◽  
No Signaling ◽  
Superluminal Signaling ◽  
Physical Principles

More general probability sum-rules for describing interference found in quantum mechanics (QM) were formulated by Sorkin in a hierarchy of such rules. The additivity of classical measure theory corresponds to the second sum-rule. QM violates this rule, but satisfies the third and higher sum-rules. This evokes the question of whether there are physical principles that forbid their violation. We show that in a theory that is indistinguishable from quantum mechanics in first and second-order interferences, the violation of higher sum-rules allows for superluminal signaling, essentially because probability measures can be contextual in such theories.

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