Network-Device-Independent Certification of Causal Nonseparability
- URL: http://arxiv.org/abs/2308.12760v1
- Date: Thu, 24 Aug 2023 13:08:00 GMT
- Title: Network-Device-Independent Certification of Causal Nonseparability
- Authors: Hippolyte Dourdent, Alastair A. Abbott, Ivan \v{S}upi\'c, Cyril
Branciard
- Abstract summary: Causal nonseparability is the property underlying quantum processes incompatible with a definite causal order.
Here we present a method solely based on the observed correlations, which certifies the causal nonseparability of all the processes that can induce a causally nonseparable distributed measurement.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Causal nonseparability is the property underlying quantum processes
incompatible with a definite causal order. So far it has remained a central
open question as to whether any process with a clear physical realisation can
violate a causal inequality, so that its causal nonseparability can be
certified in a device-independent way, as originally conceived. Here we present
a method solely based on the observed correlations, which certifies the causal
nonseparability of all the processes that can induce a causally nonseparable
distributed measurement in a scenario with trusted quantum input states, as
defined in [Dourdent et al., Phys. Rev. Lett. 129, 090402 (2022)]. This notably
includes the celebrated quantum switch. This device-independent certification
is achieved by introducing a network of untrusted operations, allowing one to
self-test the quantum inputs on which the effective distributed measurement
induced by the process is performed.
Related papers
- Experimental Sample-Efficient and Device-Independent GHZ State Certification [1.1650821883155187]
certification of quantum resources is a critical tool in the development of quantum information processing.
We show the efficient and device-independent certification of a single copy of a four-qubit GHZ state.
arXiv Detail & Related papers (2024-07-18T14:01:42Z) - Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
We propose a measurement-device-independent (MDI) test for beyond-quantum state detection.
We discuss the importance of tomographic completeness of the input sets to the detection.
arXiv Detail & Related papers (2023-12-11T06:40:13Z) - Device-independent certification of indefinite causal order in the
quantum switch [0.6445605125467572]
Quantum theory is compatible with scenarios in which the order of operations is indefinite.
We present an inequality that can be used to device-independently certify indefinite causal order in the quantum switch.
arXiv Detail & Related papers (2022-08-01T10:06:49Z) - Quantum Proofs of Deletion for Learning with Errors [91.3755431537592]
We construct the first fully homomorphic encryption scheme with certified deletion.
Our main technical ingredient is an interactive protocol by which a quantum prover can convince a classical verifier that a sample from the Learning with Errors distribution in the form of a quantum state was deleted.
arXiv Detail & Related papers (2022-03-03T10:07:32Z) - Semi-device-independent certification of indefinite causal order in a
photonic quantum switch [4.058090592851957]
In a semi-device-independent scenario, indefinite causal order can be demonstrated with the quantum switch.
We show that correlations generated in a photonic quantum switch, in which all parties are able to collect local outcome statistics, achieve a violation of this inequality of 224 standard deviations.
arXiv Detail & Related papers (2022-02-10T22:02:24Z) - Semi-Device-Independent Certification of Causal Nonseparability with
Trusted Quantum Inputs [0.0]
Remarkably, some processes, termed causally nonseparable, are incompatible with a definite causal order.
We explore a form of certification of causal nonseparability in a semi-device-independent scenario.
We show that certain causally nonseparable processes which cannot violate any causal inequality, including the canonical example of the quantum switch, can generate noncausal correlations.
arXiv Detail & Related papers (2021-07-22T18:14:04Z) - Discovering Latent Causal Variables via Mechanism Sparsity: A New
Principle for Nonlinear ICA [81.4991350761909]
Independent component analysis (ICA) refers to an ensemble of methods which formalize this goal and provide estimation procedure for practical application.
We show that the latent variables can be recovered up to a permutation if one regularizes the latent mechanisms to be sparse.
arXiv Detail & Related papers (2021-07-21T14:22:14Z) - Excluding false negative error in certification of quantum channels [68.8204255655161]
This work focuses on the scenario when the false negative error cannot occur, even if it leads to the growth of the probability of false positive error.
We establish a condition when it is possible to exclude false negative error after a finite number of queries to the quantum channel in parallel.
arXiv Detail & Related papers (2021-06-04T09:41:11Z) - Sample-efficient device-independent quantum state verification and
certification [68.8204255655161]
Authentication of quantum sources is a crucial task in building reliable and efficient protocols for quantum-information processing.
We develop a systematic approach to device-independent verification of quantum states free of IID assumptions in the finite copy regime.
We show that device-independent verification can be performed with optimal sample efficiency.
arXiv Detail & Related papers (2021-05-12T17:48:04Z) - On the optimal certification of von Neumann measurements [55.41644538483948]
certification of quantum measurements can be viewed as the extension of quantum hypotheses testing.
We show the connection between the certification of quantum channels or von Neumann measurements and the notion of $q$-numerical range.
arXiv Detail & Related papers (2020-09-14T22:38:23Z) - Self-testing of a single quantum device under computational assumptions [7.716156977428555]
Self-testing is a method to characterise an arbitrary quantum system based only on its classical input-output correlations.
We replace the setting of multiple non-communicating parties, which is difficult to enforce in practice, by a single computationally bounded party.
arXiv Detail & Related papers (2020-01-24T19:00:15Z)
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.