Scrambling Transition in a Radiative Random Unitary Circuit
- URL: http://arxiv.org/abs/2210.14242v2
- Date: Fri, 1 Dec 2023 21:54:00 GMT
- Title: Scrambling Transition in a Radiative Random Unitary Circuit
- Authors: Zack Weinstein, Shane P. Kelly, Jamir Marino, Ehud Altman
- Abstract summary: We study quantum information scrambling in a random unitary circuit that exchanges qubits with an environment at a rate $p$.
Localized quantum information not only spreads within the system, but also spills into the environment.
We present a simple decoding scheme which recovers the system's initial information with perfect fidelity in the nonpercolating phase.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study quantum information scrambling in a random unitary circuit that
exchanges qubits with an environment at a rate $p$. As a result, initially
localized quantum information not only spreads within the system, but also
spills into the environment. Using the out-of-time-order correlator (OTOC) to
characterize scrambling, we find a nonequilibrium phase transition in the
directed percolation universality class at a critical swap rate $p_c$: for $p <
p_c$ the ensemble-averaged OTOC exhibits ballistic growth with a tunable light
cone velocity, while for $p > p_c$ the OTOC fails to percolate within the
system and vanishes uniformly within a finite timescale, indicating that all
local operators are rapidly swapped into the environment. To elucidate its
information-theoretic consequences, we demonstrate that the transition in
operator spreading coincides with a transition in an observer's ability to
decode the system's initial quantum information from the swapped-out, or
"radiated," qubits. We present a simple decoding scheme which recovers the
system's initial information with perfect fidelity in the nonpercolating phase,
and with continuously decreasing fidelity with decreasing swap rate in the
percolating phase. Depending on the initial state of the swapped-in qubits, we
further observe a corresponding entanglement transition in the coherent
information from the system into the radiated qubits.
Related papers
- Quantum information scrambling in adiabatically-driven critical systems [49.1574468325115]
Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system.
We extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
arXiv Detail & Related papers (2024-08-05T18:00:05Z) - Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity [0.0]
We consider out-of-time-ordered correlators (OTOC) and K-complexity as a probe of information scrambling.
We formulate the K-complexity in system with discrete-time evolution, and show that it grows linearly in discrete-time quantum walk.
arXiv Detail & Related papers (2024-06-09T17:38:50Z) - Environment-Induced Information Scrambling Transition with Charge
Conservations [6.659260341668616]
In generic closed quantum systems, the complexity of operators increases under time evolution governed by the Heisenberg equation.
When systems interact with an external environment, the system-environment coupling allows operators to escape from the system.
This transition is known as the environment-induced information scrambling transition, originally proposed in Majorana fermion systems.
arXiv Detail & Related papers (2024-03-13T15:36:53Z) - Universal Spreading of Conditional Mutual Information in Noisy Random Circuits [1.6437645274005803]
We study the evolution of conditional mutual information in generic open quantum systems.
We find that noisy random circuits with an error rate $p$ exhibit superlinear propagation of conditional mutual information.
arXiv Detail & Related papers (2024-02-28T18:31:14Z) - Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
Signatures of localization have been observed in condensed matter and cold atomic systems.
We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths.
We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
arXiv Detail & Related papers (2023-03-13T12:45:25Z) - Dynamical Transition of Operator Size Growth in Quantum Systems Embedded
in an Environment [6.659260341668616]
We predict a transition in quantum systems with all-to-all interactions accompanied by an environment.
The transition is driven by the competition between the system intrinsic and environment propelled scramblings and the environment induced dissipation.
Our study sheds light on the fundamental behavior of quantum systems in the presence of an environment.
arXiv Detail & Related papers (2022-11-07T13:21:50Z) - Out-of-time-order correlator in the quantum Rabi model [62.997667081978825]
We show that out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase.
We show that the effective time-averaged dimension of the quantum Rabi system can be large compared to the spin system size.
arXiv Detail & Related papers (2022-01-17T10:56:57Z) - Tracing Information Flow from Open Quantum Systems [52.77024349608834]
We use photons in a waveguide array to implement a quantum simulation of the coupling of a qubit with a low-dimensional discrete environment.
Using the trace distance between quantum states as a measure of information, we analyze different types of information transfer.
arXiv Detail & Related papers (2021-03-22T16:38:31Z) - Continuous-time dynamics and error scaling of noisy highly-entangling
quantum circuits [58.720142291102135]
We simulate a noisy quantum Fourier transform processor with up to 21 qubits.
We take into account microscopic dissipative processes rather than relying on digital error models.
We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
arXiv Detail & Related papers (2021-02-08T14:55:44Z) - Universality of entanglement transitions from stroboscopic to continuous
measurements [68.8204255655161]
We show that the entanglement transition at finite coupling persists if the continuously measured system is randomly nonintegrable.
This provides a bridge between a wide range of experimental settings and the wealth of knowledge accumulated for the latter systems.
arXiv Detail & Related papers (2020-05-04T21:45:59Z)
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.