Distributing entanglement with separable states: assessment of encoding
and decoding imperfections
- URL: http://arxiv.org/abs/2002.04476v2
- Date: Fri, 18 Jun 2021 09:14:55 GMT
- Title: Distributing entanglement with separable states: assessment of encoding
and decoding imperfections
- Authors: Hannah McAleese, Gediminas Juska, Iman Ranjbar Jahromi, Emanuele
Pelucchi, Alessandro Ferraro, Mauro Paternostro
- Abstract summary: Entanglement can be distributed using a carrier which is always separable from the rest of the systems involved.
We consider the effect of incoherent dynamics acting alongside imperfect unitary interactions.
We show that entanglement gain is possible even with substantial unitary errors.
- Score: 55.41644538483948
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entanglement can be distributed using a carrier which is always separable
from the rest of the systems involved. Up to now, this effect has predominantly
been analyzed in the case where the carrier-system interactions take the form
of ideal unitary operations, thus leaving untested its robustness against
either non-unitary or unitary errors. We address this issue by considering the
effect of incoherent dynamics acting alongside imperfect unitary interactions.
In particular, we determine the restrictions that need to be placed on the
interaction time, as well as the strength of the incoherent dynamics. We find
that with non-unitary errors, we can still successfully distribute
entanglement, provided we measure the carrier in a suitable basis. Introducing
imperfections in the unitary dynamics, we show that entanglement gain is
possible even with substantial unitary errors. Moreover, certain variations in
the strength of the unitary dynamics can allow for greater robustness against
non-unitary errors. Therefore, even in experimental settings where unitary
operations cannot be carried out without imperfections, it is still possible to
generate entanglement between two systems using a separable carrier.
Related papers
- Entanglement of Disjoint Intervals in Dual-Unitary Circuits: Exact Results [49.1574468325115]
The growth of the entanglement between a disjoint subsystem and its complement after a quantum quench is regarded as a dynamical chaos indicator.
We show that for almost all dual unitary circuits the entanglement dynamics agrees with what is expected for chaotic systems.
Despite having many conserved charges, charge-conserving dual-unitary circuits are in general not Yang-Baxter integrable.
arXiv Detail & Related papers (2024-08-29T17:45:27Z) - Regulating Model Reliance on Non-Robust Features by Smoothing Input Marginal Density [93.32594873253534]
Trustworthy machine learning requires meticulous regulation of model reliance on non-robust features.
We propose a framework to delineate and regulate such features by attributing model predictions to the input.
arXiv Detail & Related papers (2024-07-05T09:16:56Z) - Localization and integrability breaking in weakly interacting Floquet circuits [0.0]
Floquet circuits can interpolate between non-interacting qubits, free propagation, generic interacting, and dual-unitary dynamics.
We identify the operator entanglement entropy of the two-qubit gate as a good measure of the interaction strength.
arXiv Detail & Related papers (2023-11-03T19:00:27Z) - Temporal fluctuations of correlators in integrable and chaotic quantum
systems [0.0]
We provide bounds on temporal fluctuations around the infinite-time average of out-of-time-ordered and time-ordered correlators of many-body quantum systems without energy gap degeneracies.
For physical initial states, our bounds predict the exponential decay of the temporal fluctuations as a function of the system size.
arXiv Detail & Related papers (2023-07-17T12:35:38Z) - Nonparametric Identifiability of Causal Representations from Unknown
Interventions [63.1354734978244]
We study causal representation learning, the task of inferring latent causal variables and their causal relations from mixtures of the variables.
Our goal is to identify both the ground truth latents and their causal graph up to a set of ambiguities which we show to be irresolvable from interventional data.
arXiv Detail & Related papers (2023-06-01T10:51:58Z) - Quantitative non-classicality of mediated interactions [0.5033155053523042]
We show that the gain of quantum entanglement between the masses indicates non-classicality of the states of the whole tripartite system.
We derive inequalities whose violation indicates non-commutativity and non-decomposability.
We give applications of these techniques in two different fields: for detecting non-classicality of gravitational interaction and in bounding the Trotter error in quantum simulations.
arXiv Detail & Related papers (2023-03-22T09:58:26Z) - Statics and Dynamics of non-Hermitian Many-Body Localization [0.0]
Many-body localized phases retain memory of their initial conditions in disordered interacting systems.
We focus on the interacting Hatano-Nelson model which breaks unitarity via asymmetric hopping.
Our findings suggest the possibility of an intermediate dynamical regime in disordered open systems.
arXiv Detail & Related papers (2023-01-04T18:58:17Z) - Robustness and Accuracy Could Be Reconcilable by (Proper) Definition [109.62614226793833]
The trade-off between robustness and accuracy has been widely studied in the adversarial literature.
We find that it may stem from the improperly defined robust error, which imposes an inductive bias of local invariance.
By definition, SCORE facilitates the reconciliation between robustness and accuracy, while still handling the worst-case uncertainty.
arXiv Detail & Related papers (2022-02-21T10:36:09Z) - Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling.
In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures.
By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
arXiv Detail & Related papers (2022-02-14T02:23:16Z) - Non-Markovian qubit dynamics in nonequilibrium environments [0.0]
We study the non-Markovian dynamics of qubit systems coupled to nonequilibrium environments with nonstationary and non-Markovian statistical properties.
We derive the relation between the entanglement and nonlocality of the two qubit system which are both closely associated with the decoherence function.
arXiv Detail & Related papers (2020-08-03T04:44:42Z)
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.