Unification of Random Dynamical Decoupling and the Quantum Zeno Effect
- URL: http://arxiv.org/abs/2112.04242v3
- Date: Thu, 4 Aug 2022 01:53:05 GMT
- Title: Unification of Random Dynamical Decoupling and the Quantum Zeno Effect
- Authors: Alexander Hahn, Daniel Burgarth, Kazuya Yuasa
- Abstract summary: We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit.
This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
- Score: 68.8204255655161
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Periodic deterministic bang-bang dynamical decoupling and the quantum Zeno
effect are known to emerge from the same physical mechanism. Both concepts are
based on cycles of strong and frequent kicks provoking a subdivision of the
Hilbert space into independent subspaces. However, previous unification results
do not capture the case of random bang-bang dynamical decoupling, which can be
advantageous to the deterministic case but has an inherently acyclic structure.
Here, we establish a correspondence between random dynamical decoupling and the
quantum Zeno effect by investigating the average over random decoupling
evolutions. This protocol is a manifestation of the quantum Zeno dynamics and
leads to a unitary bath evolution. By providing a framework that we call
equitability of system and bath, we show that the system dynamics under random
dynamical decoupling converges to a unitary with a decoupling error that
characteristically depends on the convergence speed of the Zeno limit. This
reveals a unification of the random dynamical decoupling and the quantum Zeno
effect.
Related papers
- Bath Dynamical Decoupling with a Quantum Channel [44.99833362998488]
We generalize the notion of dynamical decoupling to repeated kicks with a quantum channel.
We find that bath dynamical decoupling works if and only if the kick is ergodic.
arXiv Detail & Related papers (2024-09-27T07:47:52Z) - Quantum fingerprints of self-organization in spin chains coupled to a Kuramoto model [0.0]
Floquet theory is a widely used framework to describe the dynamics of periodically-driven quantum systems.
We consider drives that exhibit self-organization phenomena reaching periodic steady states with emergent symmetries.
Our results can be experimentally implemented in near-term quantum devices in digital and analog platforms.
arXiv Detail & Related papers (2024-06-24T18:22:29Z) - Geometric phases along quantum trajectories [58.720142291102135]
We study the distribution function of geometric phases in monitored quantum systems.
For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle.
For the same parameters, the density matrix does not show any interference.
arXiv Detail & Related papers (2023-01-10T22:05:18Z) - Reaction-limited quantum reaction-diffusion dynamics [0.0]
We consider the quantum nonequilibrium dynamics of systems where fermionic particles coherently hop on a one-dimensional lattice.
By exploiting the time-dependent generalized Gibbs ensemble method, we demonstrate that quantum coherence and destructive interference play a crucial role in these systems.
arXiv Detail & Related papers (2022-09-20T15:14:52Z) - Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a
Quantum Quench in a Driven-Dissipative Kitaev Chain [0.0]
We show that relaxation of driven-dissipative systems after a quantum quench can be determined by a maximum entropy ensemble.
We show that these results apply to broad classes of noninteracting fermionic models.
arXiv Detail & Related papers (2022-03-28T08:59:58Z) - 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) - Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
We propose a decoherent mechanism for sensing quantum chaos.
The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
arXiv Detail & Related papers (2021-04-13T17:24:08Z) - Quantum Zeno effect appears in stages [64.41511459132334]
In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates.
We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
arXiv Detail & Related papers (2020-03-23T18:17:36Z) - The entanglement membrane in chaotic many-body systems [0.0]
In certain analytically-tractable quantum chaotic systems, the calculation of out-of-time-order correlation functions, entanglement entropies after a quench, and other related dynamical observables, reduces to an effective theory of an entanglement membrane'' in spacetime.
We show here how to make sense of this membrane in more realistic models, which do not involve an average over random unitaries.
arXiv Detail & Related papers (2019-12-27T19:01:13Z)
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.