Robust Self-Testing of Quantum Systems via Noncontextuality Inequalities

Bharti, Kishor; Ray, Maharshi; Varvitsiotis, Antonios; Warsi, Naqueeb Ahmad; Cabello, Adán; Kwek, Leong‐Chuan

doi:10.1103/physrevlett.122.250403

Cited by 67 publications

(66 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We note that self-testing using the NC inequality for the cyclic case was shown in [15] and it was recently extended to the anticycle case as well [44]. Our results, together with the aforementioned works on self-testing, show that this characterization is complete in the following sense: in the cyclic and anticyclic case, there is a unique (fundamental) NC inequality and this can be self-tested.…”

Section: Discussionsupporting

confidence: 60%

“…Bell nonlocality has found many applications in quantum key distribution [5], randomness certification [6], self-testing [7][8][9], and distributed computing [10], to name a few [11]. Recently, contextuality has also been applied more directly to quantum key distribution [12,13] and variants of randomness certification [14] and self-testing [15]. Further, it has been uncovered to be the resource powering the measurement based model and a class of fault tolerant models of quantum computation [16,17], among others [1,[16][17][18][19][20][21][22][23].…”

Section: A Motivationmentioning

confidence: 99%

See 1 more Smart Citation

Uniqueness of all fundamental noncontextuality inequalities

Bharti

Arora

Kwek

et al. 2020

Phys. Rev. Research

Self Cite

View full text Add to dashboard Cite

Contextuality is one way of capturing the nonclassicality of quantum theory. The contextual nature of a theory is often witnessed via the violation of noncontextuality inequalities-certain linear inequalities involving probabilities of measurement events. Using the exclusivity graph approach (one of the two main graph theoretic approaches for studying contextuality), it was shown [Cabello et al. Phys. Rev. A 88, 032104 (2013); Chudnovsky et al. Ann. Math. 164, 51 (2006)] that a necessary and sufficient condition for witnessing contextuality is the presence of an odd number of events (greater than three) which are either cyclically or anticyclically exclusive. Thus, the noncontextuality inequalities the underlying exclusivity structure of which is as stated, either cyclic or anticyclic, are fundamental to quantum theory. We show that there is a unique noncontextuality inequality for each nontrivial cycle and anticycle. In addition to the foundational interest, we expect this to aid the understanding of contextuality as a resource to quantum computing and its applications to local self-testing.

show abstract

Section: Discussionsupporting

confidence: 60%

Section: A Motivationmentioning

confidence: 99%

Uniqueness of all fundamental noncontextuality inequalities

Bharti

Arora

Kwek

et al. 2020

Phys. Rev. Research

Self Cite

View full text Add to dashboard Cite

show abstract

“…The odd cycle generalisation of KCBS inequality has been studied extensively in literature [ 13 , 21 , 23 , 27 ]. Surprisingly,

corresponds to independence number of the graph for odd cycle case [ 8 , 23 , 28 ].…”

Section: Analysing N -Cycle Non-contextuality Imentioning

confidence: 99%

“…The Bell non-locality can be thought of as a particular case of another under-appreciated phenomenon, referred to as contextuality [ 8 , 9 , 10 ]. Recently, contextuality has been shown to be useful for quantum cryptography [ 11 , 12 ], self-testing [ 13 ] and various models of quantum computing [ 14 , 15 ]. These non-classical correlations are not only present in quantum theory, but post-quantum theories as well [ 9 , 16 ].…”

Section: Introductionmentioning

confidence: 99%

Non-Classical Correlations in n-Cycle Setting

Bharti

Ray

Kwek

2019

Entropy

Self Cite

View full text Add to dashboard Cite

We explore non-classical correlations in n-cycle setting. In particular, we focus on correlations manifested by Kochen-Specker-Klyachko box (KS box), scenarios involving n-cycle non-contextuality inequalities and Popescu-Rohlrich boxes (PR box). We provide the criteria for optimal classical simulation of a KS box of arbitrary n dimension. The non-contextuality inequalities are analysed for n-cycle setting, and the condition for the quantum violation for odd as well as even n-cycle is discussed. We offer a simple extension of even cycle non-contextuality inequalities to the continuous variable case. Furthermore, we simulate a generalized PR box using KS box and provide some interesting insights. Towards the end, we discuss a few possible interesting open problems for future research.

show abstract

“…With the recent development of quantum technologies and the different promising applications, it is essential to guarantee the good functioning of the used apparatus through certification or benchmarking methods [1,2]. Such methods can rely on fundamental properties of quantum physics to assert properties of quantum systems such as self-testing [3][4][5][6][7], randomness certification [8][9][10] and dimension witnesses [11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Certifying dimension of quantum systems by sequential projective measurements

Sohbi

Markham

Kim

et al. 2021

Quantum

View full text Add to dashboard Cite

This work analyzes correlations arising from quantum systems subject to sequential projective measurements to certify that the system in question has a quantum dimension greater than some d. We refine previous known methods and show that dimension greater than two can be certified in scenarios which are considerably simpler than the ones presented before and, for the first time in this sequential projective scenario, we certify quantum systems with dimension strictly greater than three. We also perform a systematic numerical analysis in terms of robustness and conclude that performing random projective measurements on random pure qutrit states allows a robust certification of quantum dimensions with very high probability.

show abstract

Robust Self-Testing of Quantum Systems via Noncontextuality Inequalities

Cited by 67 publications

References 43 publications

Uniqueness of all fundamental noncontextuality inequalities

Uniqueness of all fundamental noncontextuality inequalities

Non-Classical Correlations in n-Cycle Setting

Certifying dimension of quantum systems by sequential projective measurements

Contact Info

Product

Resources

About