Loss-of-entanglement prediction of a controlled-PHASE gate in the framework of steepest-entropy-ascent quantum thermodynamics

• URL: http://arxiv.org/abs/2006.06092v1
• Date: Wed, 10 Jun 2020 22:26:52 GMT
• Title: Loss-of-entanglement prediction of a controlled-PHASE gate in the framework of steepest-entropy-ascent quantum thermodynamics
• Authors: J. A. Monta\~nez-Barrera, Cesar E. Damian-Ascencio, Michael R. von Spakovsky, Sergio Cano-Andrade
• Abstract summary: We show that the loss of entanglement predicted is related to the irreversibilities in a nontrivial way. The results provide a means for understanding this loss in quantum protocols from a nonequilibrium thermodynamic standpoint.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: As has been shown elsewhere, a reasonable model of the loss of entanglement or correlation that occurs in quantum computations is one which assumes that they can effectively be predicted by a framework that presupposes the presence of irreversibilities internal to the system. It is based on the steepest-entropy-ascent principle and is used here to reproduce the behavior of a controlled-PHASE gate in good agreement with experimental data. The results show that the loss of entanglement predicted is related to the irreversibilities in a nontrivial way, providing a possible alternative approach that warrants exploration to that conventionally used to predict the loss of entanglement. The results provide a means for understanding this loss in quantum protocols from a nonequilibrium thermodynamic standpoint. This framework permits the development of strategies for extending either the maximum fidelity of the computation or the entanglement time.

Related papers

• Restoring Kibble-Zurek Scaling and Defect Freezing in Non-Hermitian Systems under Biorthogonal Framework [1.9460072625303615]
  We develop a theoretical framework based on time-dependent biorthogonal quantum formalism. We study the nonadiabatic dynamics of a linearly driven non-Hermitian system.
  arXiv  Detail & Related papers  (2024-10-31T05:01:00Z)
• Symmetry-protection Zeno phase transition in monitored lattice gauge theories [0.0]
  We show the existence of a sharp transition, triggered by the measurement rate, between a protected gauge-theory regime and an irregular regime. Our results shed light on the dissipative criticality of strongly-interacting, highly-constrained quantum systems.
  arXiv  Detail & Related papers  (2024-05-28T18:18:06Z)
• Exploring the Robustness of stabilizing controls for stochastic quantum evolutions [1.6590638305972631]
  We analyze and bound the effect of modeling errors on the stabilization of pure states or subspaces for quantum evolutions. Different approaches are used for open-loop and feedback control protocols.
  arXiv  Detail & Related papers  (2023-11-08T02:03:01Z)
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection [0.7864304771129751]
  We find a universal fluctuation relation that links thermodynamic entropy production and information-theoretical irreversibility along single trajectories in inefficient monitoring setups. We illustrate our findings with a driven-dissipative two-level system following quantum jump trajectories and discuss the experimental applicability of our results for thermodynamic inference.
  arXiv  Detail & Related papers  (2023-08-16T16:47:21Z)
• Demonstration of error-suppressed quantum annealing via boundary cancellation [0.0]
  We generalize the boundary cancellation theorem to the case where the Liouvillian gap vanishes. We experimentally test the predictions of the boundary cancellation theorem using quantum annealing hardware. We demonstrate that the boundary cancellation protocol is more robust to parameter variations than protocols which employ pausing to enhance the probability of finding the ground state.
  arXiv  Detail & Related papers  (2022-06-28T19:51:05Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Neuro-Symbolic Entropy Regularization [78.16196949641079]
  In structured prediction, the goal is to jointly predict many output variables that together encode a structured object. One approach -- entropy regularization -- posits that decision boundaries should lie in low-probability regions. We propose a loss, neuro-symbolic entropy regularization, that encourages the model to confidently predict a valid object.
  arXiv  Detail & Related papers  (2022-01-25T06:23:10Z)
• On Convergence of Training Loss Without Reaching Stationary Points [62.41370821014218]
  We show that Neural Network weight variables do not converge to stationary points where the gradient the loss function vanishes. We propose a new perspective based on ergodic theory dynamical systems.
  arXiv  Detail & Related papers  (2021-10-12T18:12:23Z)
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling [77.34726150561087]
  We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths. Our approach is based on the exact time-local quantum master equation for the reduced open system states.
  arXiv  Detail & Related papers  (2021-09-24T11:19:22Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• The role of boundary conditions in quantum computations of scattering observables [58.720142291102135]
  Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. As with present-day calculations, quantum computation strategies still require the restriction to a finite system size. We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
  arXiv  Detail & Related papers  (2020-07-01T17:43:11Z)

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.