Related papers: Uncertainty of quantum channels based on symmetrized \r{ho}-absolute variance and modified Wigner-Yanase skew information

Uncertainty of quantum channels based on symmetrized \r{ho}-absolute variance and modified Wigner-Yanase skew information

URL: http://arxiv.org/abs/2406.09157v1
Date: Thu, 13 Jun 2024 14:18:59 GMT
Title: Uncertainty of quantum channels based on symmetrized \r{ho}-absolute variance and modified Wigner-Yanase skew information
Authors: Cong Xu, Qing-Hua Zhang, Shao-Ming Fei,
Abstract summary: We present the uncertainty relations in terms of the symmetrized rho-absolute variance, which generalizes the uncertainty relations for arbitrary operator (not necessarily Hermitian) to quantum channels.
Score: 6.724911333403243
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We present the uncertainty relations in terms of the symmetrized \r{ho}-absolute variance, which generalizes the uncertainty relations for arbitrary operator (not necessarily Hermitian) to quantum channels. By recalling the quantity |U\r{ho}|({\Phi}) proposed by Zhang et al. (Quantum Inf. Process. 22 456, 2023), which involves terms of more quantum mechanical nature. We also establish the tighter uncertainty relations for quantum channels by using Cauchy-Schwarz inequality. Detailed examples are provided to illustrate the tightness of our results.

Related papers

Uncertainty relations based on the $ρ$-absolute variance for quantum channels [7.363028199494752]
Uncertainty principle reveals the intrinsic differences between the classical and quantum worlds, which plays a significant role in quantum information theory. We introduce the uncertainty of quantum channels and explore its properties. The summation form of the uncertainty inequalities based on the $rho$-absolute variance for arbitrary $N$ quantum channels are also investigated and the optimal lower bounds are presented.
arXiv Detail & Related papers (2024-04-12T07:51:54Z)
A note on Wigner-Yanase skew information-based uncertainty of quantum channels [11.738923802183306]
variance of quantum channels involving a mixed state gives a hybrid of classical and quantum uncertainties. We seek certain decomposition of variance into classical and quantum parts in terms of the Wigner-Yanase skew information.
arXiv Detail & Related papers (2023-12-20T06:41:02Z)
Sequential Quantum Channel Discrimination [19.785872350085878]
We consider the sequential quantum channel discrimination problem using adaptive and non-adaptive strategies. We show that both types of error probabilities decrease to zero exponentially fast. We conjecture that the achievable rate region is not larger than that achievable with POVMs.
arXiv Detail & Related papers (2022-10-20T08:13:39Z)
Non-Abelian symmetry can increase entanglement entropy [62.997667081978825]
We quantify the effects of charges' noncommutation on Page curves. We show analytically and numerically that the noncommuting-charge case has more entanglement.
arXiv Detail & Related papers (2022-09-28T18:00:00Z)
Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information [4.73944507784056]
Uncertainty relation is a fundamental issue in quantum mechanics and quantum information theory. We identify the total and quantum uncertainty of quantum channels. We discuss how to measure the total/quantum uncertainty of quantum channels for pure states.
arXiv Detail & Related papers (2022-08-14T05:29:14Z)
On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources [51.243733928201024]
We show that the proof of the generalised quantum Stein's lemma is not correct due to a gap in the argument leading to Lemma III.9. This puts into question a number of established results in the literature, in particular the reversibility of quantum entanglement.
arXiv Detail & Related papers (2022-05-05T17:46:05Z)
A note on uncertainty relations of metric-adjusted skew information [10.196893054623969]
Uncertainty principle is one of the fundamental features of quantum mechanics. We study uncertainty relations based on metric-adjusted skew information for finite quantum observables.
arXiv Detail & Related papers (2022-03-02T13:57:43Z)
A note on uncertainty relations of arbitrary N quantum channels [9.571723611319348]
Wigner-Yanase skew information characterizes the uncertainty of an observable with respect to the measured state. We generalize the uncertainty relations for two quantum channels to arbitrary N quantum channels based on Wigner-Yanase skew information.
arXiv Detail & Related papers (2021-09-03T07:05:13Z)
Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
arXiv Detail & Related papers (2021-03-02T18:56:44Z)
Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
arXiv Detail & Related papers (2020-03-04T14:01:17Z)
Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
arXiv Detail & Related papers (2020-02-05T00:45:21Z)

This list is automatically generated from the titles and abstracts of the papers in this site.