Non-Markovianity in the time evolution of open quantum systems assessed
by means of quantum state distance
- URL: http://arxiv.org/abs/2301.09323v2
- Date: Tue, 2 May 2023 12:30:32 GMT
- Title: Non-Markovianity in the time evolution of open quantum systems assessed
by means of quantum state distance
- Authors: G. Mouloudakis, I. Stergou, and P. Lambropoulos
- Abstract summary: We provide a quantitative evaluation of non-Markovianity (NM) for an XX chain of interacting qubits with one end coupled to a reservoir.
Our calculations have also uncovered a surprisingly dramatic slowing-down of dissipation by the squared Lorentzian reservoir.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We provide a quantitative evaluation of non-Markovianity (NM) for an XX chain
of interacting qubits with one end coupled to a reservoir. The NM of several
non-Markovian spectral densities is assessed in terms of various quantum state
distance (QSD) measures. Our approach is based on the construction of the
density matrix of the open chain, without the necessity of a master equation.
For the quantification of NM we calculate the dynamics of the QSD measures
between the Markovian-damped and various types of non-Markovian-damped cases.
Since in the literature several QSD measures, appear in forms that imply trace
preserving density matrices, we introduced appropriate modifications so as to
render them applicable to the case of decaying traces. The results produce
remarkable consistency between the various QSD measures. They also reveal a
subtle and potentially useful interplay between qubit-qubit interaction and
non-Markovian damping. Our calculations have also uncovered a surprisingly
dramatic slowing-down of dissipation by the squared Lorentzian reservoir.
Related papers
- General Framework for Quantifying Dissipation Pathways in Open Quantum Systems. II. Numerical Validation and the Role of Non-Markovianity [0.0]
MQME-D allows us to decompose the overall energy dissipation process in open quantum system dynamics.
We show that MQME-D accurately captures the contributions of specific bath components to the overall dissipation.
Our work demonstrates that MQME-D combined with TSS can be reliably used to understanding how energy is dissipated in realistic open quantum system dynamics.
arXiv Detail & Related papers (2024-06-01T02:11:36Z) - Experimental Investigation of Geometric Quantum Speed Limits in an Open Quantum System [0.0]
We studied geometric quantum speed limits (QSL) of a qubit subject to decoherence in an ensemble of chloroform molecules.
We used two distinguishability measures of quantum states to assess the speed of the qubit evolution.
arXiv Detail & Related papers (2023-07-13T04:55:00Z) - Markovian Sliced Wasserstein Distances: Beyond Independent Projections [51.80527230603978]
We introduce a new family of SW distances, named Markovian sliced Wasserstein (MSW) distance, which imposes a first-order Markov structure on projecting directions.
We compare distances with previous SW variants in various applications such as flows, color transfer, and deep generative modeling to demonstrate the favorable performance of MSW.
arXiv Detail & Related papers (2023-01-10T01:58:15Z) - Full counting statistics as probe of measurement-induced transitions in
the quantum Ising chain [62.997667081978825]
We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization.
In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
arXiv Detail & Related papers (2022-12-19T12:34:37Z) - Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
Inherent symmetry of a quantum system may protect its otherwise fragile states.
We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry.
MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
arXiv Detail & Related papers (2022-04-24T22:34:15Z) - Enhanced nonlinear quantum metrology with weakly coupled solitons and
particle losses [58.720142291102135]
We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels.
The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe.
We illustrate that such states are close to the optimal ones even with moderate losses.
arXiv Detail & Related papers (2021-08-07T09:29:23Z) - Preserving quantum correlations and coherence with non-Markovianity [50.591267188664666]
We demonstrate the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems.
For covariant qubit evolutions, we show that non-Markovianity can be used to preserve quantum coherence at all times.
arXiv Detail & Related papers (2021-06-25T11:52:51Z) - Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs.
Coded Systems [69.33243249411113]
We show that Pauli errors incur the lowest sampling overhead among a large class of realistic quantum channels.
We conceive a scheme amalgamating QEM with quantum channel coding, and analyse its sampling overhead reduction compared to pure QEM.
arXiv Detail & Related papers (2020-12-15T15:51:27Z) - Measure of the density of quantum states in information geometry and its
application in the quantum multi-parameter estimation [0.0]
This paper measures the intrinsic density of quantum states (IDQS) in projective Hilbert spaces.
As an application, IDQS can be used in quantum measurement and multi parameter estimation.
A form of quantum Cram'er-Rao inequality is proposed to quantify the ability to infer the IDQS via quantum measurement.
arXiv Detail & Related papers (2020-05-30T07:05:10Z) - Witnessing non-Markovian effects of quantum processes through
Hilbert-Schmidt speed [0.0]
We introduce a witness for characterizing the non-Markovianity of quantum evolutions through the Hilbert-Schmidt speed.
We show that the proposed HSS-based non-Markovianity witness detects memory effects in agreement with the well-established trace distance-based witness.
arXiv Detail & Related papers (2020-03-28T01:48:41Z) - Quantifying quantum non-Markovianity based on quantum coherence via skew
information [1.8969868190153274]
We propose a non-Markovianity measure for open quantum processes.
We find that it is equivalent to the three previous measures of non-Markovianity for phase damping and amplitude damping channels.
We also use the modified Tsallis relative $alpha$ entropy of coherence to detect the non-Markovianity of dynamics of quantum open systems.
arXiv Detail & Related papers (2020-01-05T15:37:15Z)
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.