Unambiguous discrimination of Fermionic states through local operations
and classical communication
- URL: http://arxiv.org/abs/2009.05657v2
- Date: Thu, 21 Jan 2021 15:51:26 GMT
- Title: Unambiguous discrimination of Fermionic states through local operations
and classical communication
- Authors: Matteo Lugli and Paolo Perinotti and Alessandro Tosini
- Abstract summary: The paper studies unambiguous discrimination of Fermionic states through local operations and classical communication (LOCC)
We show that it is not always possible to distinguish two Fermionic states through LOCC unambiguously with the same success probability as if global measurements were allowed.
- Score: 68.8204255655161
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The paper studies unambiguous discrimination of Fermionic states through
local operations and classical communication (LOCC). In the task of unambiguous
discrimination, no error is tolerated but an inconclusive result is allowed. We
show that contrary to the quantum case, it is not always possible to
distinguish two Fermionic states through LOCC unambiguously with the same
success probability as if global measurements were allowed. Furthermore, we
prove that we can overcome such a limit through an ancillary system made of two
Fermionic modes, independently of the dimension of the system, prepared in a
maximally entangled state: in this case, LOCC protocols achieve the optimal
success probability.
Related papers
- Critical Fermions are Universal Embezzlers [44.99833362998488]
We show that universal embezzlers are ubiquitous in many-body physics.
The same property holds in locally-interacting, dual spin chains via the Jordan-Wigner transformation.
arXiv Detail & Related papers (2024-06-17T17:03:41Z) - Bell non-locality in two-mode Gaussian states revealed via local
squeezing [0.0]
Local unitary transforms cannot affect the quantum correlations between two systems sharing an entangled state.
We show that local squeezing can enable or enhance the identification of non-local two-mode states.
arXiv Detail & Related papers (2023-09-06T13:59:37Z) - Local approximation for perfect discrimination of quantum states [0.0]
Quantum state discrimination involves identifying a given state out of a set of possible states.
In the case of multipartite systems when the parties are constrained to use multiple rounds of local operations and classical communication (LOCC), perfect state discrimination is often impossible.
arXiv Detail & Related papers (2022-07-07T21:12:47Z) - Experimental demonstration of optimal unambiguous two-out-of-four
quantum state elimination [52.77024349608834]
A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements.
Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
arXiv Detail & Related papers (2022-06-30T18:00:01Z) - Incompatibility of local measurements provide advantage in local quantum
state discrimination [0.0]
A pack of quantum measurements that cannot be measured simultaneously is said to form a set of incompatible measurements.
We analyze the ratio of the probability of successfully guessing the state using incompatible measurements and the maximum probability of successfully guessing the state using compatible measurements.
arXiv Detail & Related papers (2022-04-22T22:29:19Z) - Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
We first consider the quantum discrimination of two noiseless displaced number states.
We then address the problem of discriminating between two noisy displaced number states.
arXiv Detail & Related papers (2020-12-09T16:56:16Z) - Bose-Einstein condensate soliton qubit states for metrological
applications [58.720142291102135]
We propose novel quantum metrology applications with two soliton qubit states.
Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
arXiv Detail & Related papers (2020-11-26T09:05:06Z) - Discriminating bipartite mixed states by local operations [0.4724825031148411]
We show that the success probability of a global scheme for mixed-state discrimination can be achieved perfectly by the local scheme.
This simulation is perfect for local rather than global schemes due to the existence of entanglement and global coherence in the pure states.
arXiv Detail & Related papers (2020-03-13T04:50:36Z) - Fermionic state discrimination by local operations and classical
communication [68.8204255655161]
Local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems is studied.
We show that, contrary to the case of quantum systems, for fermionic systems it is generally not possible to achieve the ideal state discrimination performances.
arXiv Detail & Related papers (2020-02-24T12:25:36Z)
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.