Observation of non-locality sharing among three observers with one entangled pair via optimal weak measurement

Hu, Meng-Jun; Zhou, Zhi-Yuan; Hu, Xiaomin; Li, Chuan‐Feng; Guo, Guang‐Can; Zhang, Yongsheng

doi:10.1038/s41534-018-0115-x

Cited by 87 publications

(59 citation statements)

References 43 publications

(56 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This makes our results readily applicable to experimental applications. Such tests are well within the state-ofthe-art experiments [30][31][32]. Moreover, we notice that the class of quantum instruments self-tested in this work are precisely those implemented by the experimental realisations in [30][31][32][33].…”

Section: Discussionmentioning

confidence: 69%

Sequential random access codes and self-testing of quantum measurement instruments

2019

View full text Add to dashboard Cite

Quantum random access codes (QRACs) are key tools for a variety of protocols in quantum information theory. These are commonly studied in prepare-and-measure scenarios in which a sender prepares states and a receiver measures them. Here, we consider a three-party prepare-transformmeasure scenario in which the simplest QRAC is implemented twice in sequence based on the same physical system. We derive optimal trade-off relations between the two QRACs. We apply our results to construct semi-device independent self-tests of quantum instruments, i.e. measurement channels with both a classical and quantum output. Finally, we show how sequential QRACs enable inference of upper and lower bounds on the sharpness parameter of a quantum instrument.Subsequently, we apply our results to self-test a quantum instrument. is the task of inferring physical entities (states, channels, measurements) solely from correlations produced in experiments i.e. identifying the unique physical entities that are compatible with observed data. Self-testing is typically studied in Bell experiments where notably methods for self-testing quantum instruments have been developed [15,16]. Recently however, self-testing was introduced in the broad scope of prepare-and-measure scenarios [10], and was further developed using QRACs to robustly self-test both preparations and measurements [10][11][12]. Notably however, prepare-and-measure scenarios do not enable self-tests of general quantum operations. In particular, it does not enable self-tests of quantum instruments since the quantum system after the measurement is irrelevant to the outcome statistics produced in the experiment. We show that our prepare-transform-measure scenario overcomes this conceptual limitation. We find that optimal pairs of sequential QRACs self-test quantum instruments. However, such optimal correlations require idealised (noiseless) scenarios which are never the case in a practical implementation. Therefore, we also show how sequential QRACs allow for inference of noise-robust bounds on the sharpness parameter in a quantum instrument. This is makes our results applicable to experimental demonstrations. Finally, we discuss relevant generalisations of our results. New J. Phys. 21 (2019) 083034 K Mohan et al

show abstract

Section: Discussionmentioning

confidence: 69%

Sequential random access codes and self-testing of quantum measurement instruments

2019

View full text Add to dashboard Cite

show abstract

“…Moreover, they showed that an arbitrary long sequence of Bobs can establish nonlocal correlations with Alice, given that their measurement inputs are judiciously biased. This motivated further work exploring the potential of these ideas for randomness generation [13] and their classical communication cost [14], and led to experimental demonstrations [15,16]. More recently, these ideas were extended to other types of quantum correlations [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Unbounded sequence of observers exhibiting Einstein-Podolsky-Rosen steering

Designolle

Hirsch

et al. 2019

Phys. Rev. A

View full text Add to dashboard Cite

A sequential steering scenario is investigated, where multiple Bobs aim at demonstrating steering using successively the same half of an entangled quantum state. With isotropic entangled states of local dimension d, the number of Bobs that can steer Alice is found to be N Bob ∼ d/ log d, thus leading to an arbitrary large number of successive instances of steering with independently chosen and unbiased inputs. This scaling is achieved when considering a general class of measurements along orthonormal bases, as well as complete sets of mutually unbiased bases. Moreover, we show that similar results can be obtained in an anonymous sequential scenario, where none of the Bobs know their position in the sequence. Finally, we briefly discuss the implication of our results for sequential tests of Bell nonlocality.

show abstract

“…Note added -While we were completing our work we became aware that a similar manuscript, showing the experimental violation a double Bell inequality, was recently posted on arXiv [17]. particular, for small angle θ of the thin glass plate we can omit the refraction and consider the following model for φ…”

mentioning

confidence: 99%

Three-observer Bell inequality violation on a two-qubit entangled state

Schiavon

Calderaro

Pittaluga

et al. 2017

Quantum Sci. Technol.

View full text Add to dashboard Cite

Bipartite Bell inequalities can be simultaneously violated by two different pairs of observers when weak measurements and signaling is employed. Here we experimentally demonstrate the violation of two simultaneous CHSH inequalities by exploiting a two-photon polarization maximally entangled state. Our results demonstrate that large double violation is experimentally achievable. Our demonstration may have impact for Quantum Key Distribution or certification of Quantum Random Number generators based on weak measurements.

show abstract

Observation of non-locality sharing among three observers with one entangled pair via optimal weak measurement

Cited by 87 publications

References 43 publications

Sequential random access codes and self-testing of quantum measurement instruments

Sequential random access codes and self-testing of quantum measurement instruments

Unbounded sequence of observers exhibiting Einstein-Podolsky-Rosen steering

Three-observer Bell inequality violation on a two-qubit entangled state

Contact Info

Product

Resources

About