Detecting coherence with respect to general quantum measurements
- URL: http://arxiv.org/abs/2208.05133v1
- Date: Wed, 10 Aug 2022 04:04:39 GMT
- Title: Detecting coherence with respect to general quantum measurements
- Authors: Yu-Cheng Chen, Jiong Cheng, Wen-Zhao Zhang, Cheng-Jie Zhang
- Abstract summary: We present witnesses for block coherence and POVM-based coherence.
We discuss possible realizations of some block coherence and POVM-based coherence witnesses in experiments.
We prove that the quantum Fisher information of any block incoherent state is equal to zero.
- Score: 4.585247747779235
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum coherence is a crucial resource in quantum resource theory. Previous
study mainly focused on standard coherence under a complete orthogonal
reference basis. The standard coherence has recently been extended to general
positive-operator-valued measure (POVM)-based coherence, including block
coherence as a special case. Therefore, it is necessary to construct block
coherence and POVM-based coherence witnesses to detect them. In this work, we
present witnesses for block coherence and POVM-based coherence, and obtain the
necessary and sufficient conditions for arbitrary block coherence and
POVM-based coherence witnesses. We also discuss possible realizations of some
block coherence and POVM-based coherence witnesses in experiments, and present
examples of measuring block coherence witnesses based on real experimental
data. Furthermore, an application of block coherence witnesses has been
presented in a quantum parameter estimation task with a degenerate Hamiltonian,
and one can estimate the unknown parameter by measuring our block coherence
witnesses if the input state is block coherent. Lase but not least, we prove
that the quantum Fisher information of any block incoherent state is equal to
zero, which coincides with the result from measuring block coherence witnesses.
Related papers
- Classifying coherence with a finite set of witnesses [0.07499722271664144]
Coherence is a fundamental resource in quantum information processing, which can be certified by a coherence witness.
We present necessary and sufficient conditions of detecting quantum coherence of $d-$dimensional quantum states based on $Cd_[m,M]$.
The corresponding finite set of coherence witnesses is presented explicitly, which detects all the coherent states.
arXiv Detail & Related papers (2024-10-26T00:44:49Z) - 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) - Incompatibility of observables, channels and instruments in information
theories [68.8204255655161]
We study the notion of compatibility for tests of an operational probabilistic theory.
We show that a theory admits of incompatible tests if and only if some information cannot be extracted without disturbance.
arXiv Detail & Related papers (2022-04-17T08:44:29Z) - 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) - The block-coherence measures and the coherence measures based on
positive-operator-valued measures [0.0]
We study the block-coherence measures based on resource theory of block-coherence and the coherence measures based on positive-operator-valued measures (POVM)
We propose a POVM-based coherence measure by using the known scheme of building POVM-based coherence measures from block-coherence measures, and the one-shot block coherence cost under the maximally POVM-incoherent operations.
arXiv Detail & Related papers (2021-08-10T02:25:24Z) - Machine-Learning-Derived Entanglement Witnesses [55.76279816849472]
We show a correspondence between linear support vector machines (SVMs) and entanglement witnesses.
We use this correspondence to generate entanglement witnesses for bipartite and tripartite qubit (and qudit) target entangled states.
arXiv Detail & Related papers (2021-07-05T22:28:02Z) - Witnesses of coherence and dimension from multiphoton
indistinguishability tests [0.0]
We experimentally measure a novel type of coherence witness that uses pairwise state comparisons to identify superpositions in a basis-independent way.
Besides coherence witnesses, we show the measurements also serve as a Hilbert-space dimension witness.
arXiv Detail & Related papers (2021-04-19T12:13:51Z) - Geometry of Banach spaces: a new route towards Position Based
Cryptography [65.51757376525798]
We study Position Based Quantum Cryptography (PBQC) from the perspective of geometric functional analysis and its connections with quantum games.
The main question we are interested in asks for the optimal amount of entanglement that a coalition of attackers have to share in order to compromise the security of any PBQC protocol.
We show that the understanding of the type properties of some more involved Banach spaces would allow to drop out the assumptions and lead to unconditional lower bounds on the resources used to attack our protocol.
arXiv Detail & Related papers (2021-03-30T13:55:11Z) - Detecting and estimating coherence based on coherence witnesses [0.7559720049837457]
We introduce feasible methods to detect and estimate the coherence by constructing coherence witnesses for any finite-dimensional states.
Our coherence witnesses detect coherent states by testing whether the expectation value of the witness is negative or not.
Two typical coherence witnesses are proposed and discussed based on our witness-constructing method.
arXiv Detail & Related papers (2020-12-24T00:35:43Z) - Coherence measures with respect to general quantum measurements [0.4588028371034407]
We first establish an alternative framework for the block coherence and provide several block coherence measures.
We then present several coherence measures with respect to POVM measurements, and prove a conjecture on the $l_1$-norm related POVM coherence measure.
arXiv Detail & Related papers (2020-07-19T04:21:18Z) - Direct estimation of quantum coherence by collective measurements [54.97898890263183]
We introduce a collective measurement scheme for estimating the amount of coherence in quantum states.
Our scheme outperforms other estimation methods based on tomography or adaptive measurements.
We show that our method is accessible with today's technology by implementing it experimentally with photons.
arXiv Detail & Related papers (2020-01-06T03:50:42Z)
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.