Related papers: Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field

Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field

URL: http://arxiv.org/abs/2108.11198v2
Date: Mon, 30 May 2022 21:28:15 GMT
Title: Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
Authors: Harikrishnan K. J. and Amit Kumar Pal
Abstract summary: Localizable entanglement is studied on nontrivial loops of topological quantum codes with parallel magnetic field. We study the behavior of these lower bounds in the vicinity of the topological to nontopological quantum phase transition of the system. We find that in the case of the non-Markovian dephasing noise, at large time, the canonical measurement-based lower bound oscillates with a larger amplitude.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We investigate the static and the dynamical behavior of localizable entanglement and its lower bounds on nontrivial loops of topological quantum codes with parallel magnetic field. Exploiting the connection between the stabilizer states and graph states in the absence of the parallel field and external noise, we identify a specific measurement basis, referred to as the canonical measurement basis, that optimizes localizable entanglement when measurement is restricted to single-qubit Pauli measurements only, thereby providing a lower bound. We also propose an approximation of the lower bound that can be computed for larger systems according to the computational resource in hand. Additionally, we compute a lower bound of the localizable entanglement that can be computed by determining the expectation value of an appropriately designed witness operator. We study the behavior of these lower bounds in the vicinity of the topological to nontopological quantum phase transition of the system, and perform a finite-size scaling analysis. We also investigate the dynamical features of these lower bounds when the system is subjected to Markovian or non-Markovian single-qubit dephasing noise. We find that in the case of the non-Markovian dephasing noise, at large time, the canonical measurement-based lower bound oscillates with a larger amplitude when the initial state of the system undergoing dephasing dynamics is chosen from the nontopological phase, compared to the same for an initial state from the topological phase. These features can be utilized to distinguish the topological phase of the system from the nontopological phase in the presence of dephasing noise.

Related papers

Mixed-State Topological Order under Coherent Noises [2.8391355909797644]
We find remarkable stability of mixed-state topological order under random rotation noise with axes near the $Y$-axis of qubits. The upper bounds for the intrinsic error threshold are determined by these phase boundaries, beyond which quantum error correction becomes impossible.
arXiv Detail & Related papers (2024-11-05T19:00:06Z)
Entanglement and operator correlation signatures of many-body quantum Zeno phases in inefficiently monitored noisy systems [49.1574468325115]
The interplay between information-scrambling Hamiltonians and local continuous measurements hosts platforms for exotic measurement-induced phase transition. We identify a non-monotonic dependence on the local noise strength in both the averaged entanglement and operator correlations. The analysis of scaling with the system size in a finite length chain indicates that, at finite efficiency, this effect leads to distinct MiPTs for operator correlations and entanglement.
arXiv Detail & Related papers (2024-07-16T13:42:38Z)
Entanglement phase transitions in non-Hermitian Kitaev chains [0.0]
Loss-induced entanglement transitions are found in non-Hermitian topological superconductors. Log-law to log-law and log-law to area-law entanglement phase transitions are identified when the system switches between different topological phases.
arXiv Detail & Related papers (2024-02-05T13:39:19Z)
Anomalous Floquet Phases. A resonance phenomena [0.0]
Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. We show that resonances in Floquet phases can be accurately captured in analytical terms. We also find a bulk-to-boundary correspondence between the number of edge states in finite systems.
arXiv Detail & Related papers (2023-12-11T19:00:13Z)
Quantum Signatures of Topological Phase in Bosonic Quadratic System [0.38850145898707145]
We show that an open bosonic quadratic chain exhibits topology-induced entanglement effect. When the system is in the topological phase, the edge modes can be entangled in the steady state, while no entanglement appears in the trivial phase. Our work reveals that the stationary entanglement can be a quantum signature of the topological phase in bosonic systems.
arXiv Detail & Related papers (2023-09-13T15:18:33Z)
Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
arXiv Detail & Related papers (2022-06-03T18:00:02Z)
Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
arXiv Detail & Related papers (2021-11-23T20:25:57Z)
Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
arXiv Detail & Related papers (2021-09-08T11:18:50Z)
Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [58.720142291102135]
We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
arXiv Detail & Related papers (2021-04-21T10:36:57Z)
Observing a Topological Transition in Weak-Measurement-Induced Geometric Phases [55.41644538483948]
Weak measurements in particular, through their back-action on the system, may enable various levels of coherent control. We measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength. Our results open new horizons for measurement-enabled quantum control of many-body topological states.
arXiv Detail & Related papers (2021-02-10T19:00:00Z)
Quantized Floquet topology with temporal noise [0.0]
We study the Floquet insulator, which exhibits topologically quantized chiral edge states similar to a Chern insulator. We find that the quantized response, given by partially filling the fermionic system and measuring charge pumped per cycle, remains quantized up to finite noise amplitude. This approach suggests an interpretation of the state of the system as a non-Hermitian Floquet topological phase.
arXiv Detail & Related papers (2020-06-18T17:58:26Z)

This list is automatically generated from the titles and abstracts of the papers in this site.