2021
DOI: 10.1103/physreva.103.062604
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Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction

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Cited by 14 publications
(10 citation statements)
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“…where permutations refers to the fact that the above relations also hold if we permute the observables, which is a consequence of the commutation relations (34). One directly deduces from these identities that…”
Section: B Self-testingmentioning
confidence: 95%
See 2 more Smart Citations
“…where permutations refers to the fact that the above relations also hold if we permute the observables, which is a consequence of the commutation relations (34). One directly deduces from these identities that…”
Section: B Self-testingmentioning
confidence: 95%
“…where, as already mentioned, the dimension d of the subspace V is given by d = 2k for some k = 2, 3, 4. Using then the above form of Â1 and B1 and the commutation relations (34) we can write the other operators as follows:…”
Section: B Self-testingmentioning
confidence: 99%
See 1 more Smart Citation
“…Quantum measurements are one of the most important and key resource in quantum technologies and play a crucial role to reveal the counter-intuitive quantum advantages in non-classical phenomena. There are several protocols proposed till date certifying various quantum measurements, but most of them either require entanglement [28][29][30][31][32], a costly resource, or need certain assumptions or trust on the measurement devices to be certified [25,33]. Certification of d-outcome measurements (where d is arbitrary) has received attention in a few works [15,17] involving scenarios that require a large number of measurements by each of the observers sharing the entangled state.…”
Section: Introductionmentioning
confidence: 99%
“…We then connect the non-EB, non-SB, and non-NLB channels with certain temporal quantum correlations including the pseudo-density operator (PDO) [43], channel steerability [39], temporal steerability [40], and Leggett-Garg inequalities (LGIs) [54,55] in the form of the temporal Bell inequality [41,42,56,57]. More specifically, we show that: (1) a measure of the PDO satisfies the restricted memory monotone [38], (2) channel steering can be used to certify all non-SB channels, while the temporal steerability can certify the non-SB unital channel, and (3) the temporal CHSH inequality violation can detect a non-CHSH-breaking unital channel.…”
Section: Introductionmentioning
confidence: 99%