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Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional…

Disordered Systems and Neural Networks · Physics 2020-08-06 Hugo Théveniaut , Zhihao Lan , Gabriel Meyer , Fabien Alet

We present some recent results concerning the persistence of dynamical localization for disordered systems of n particles under weak interactions.

Mathematical Physics · Physics 2017-08-23 Michael Aizenman , Simone Warzel

We show that space- and time-correlated single-qubit rotation errors can lead to high-weight errors in a quantum circuit when the rotation angles are drawn from heavy-tailed distributions. This leads to a breakdown of quantum error…

Quantum Physics · Physics 2021-05-26 B. D. Clader , Colin J. Trout , Jeff P. Barnes , Kevin Schultz , Gregory Quiroz , Paraj Titum

We develop connections between generalised notions of entanglement and quantum computational devices where the measurements available are restricted, either because they are noisy and/or because by design they are only along Pauli…

Quantum Physics · Physics 2012-01-18 N. Ratanje , S. Virmani

Analog models of quantum information processing, such as adiabatic quantum computation and analog quantum simulation, require the ability to subject a system to precisely specified Hamiltonians. Unfortunately, the hardware used to implement…

Quantum Physics · Physics 2014-02-25 Kevin C. Young , Robin Blume-Kohout , Daniel A. Lidar

Motivated by the recent discovery of ergodicity breaking in geometrically frustrated systems, we study the quench dynamics of interacting hardcore bosons on a sawtooth ladder. We identify a set of initial states for which this system…

Quantum Physics · Physics 2021-01-05 Rishabh Khare , Sayan Choudhury

We examine the response of a system localized by disorder to a time dependent local perturbation which varies smoothly with a characteristic timescale $\tau$. We find that such a perturbation induces a non-local response, involving a…

Disordered Systems and Neural Networks · Physics 2015-07-23 Vedika Khemani , Rahul Nandkishore , S. L. Sondhi

It is often supposed that a quantum system is not disturbed without state change. In a recent debate, this assumption is used to claim that the operator-based disturbance measure, a broadly used disturbance measure, has an unphysical…

Quantum Physics · Physics 2022-08-11 Masanao Ozawa

Disorder, noise and interaction play a crucial role in the transport properties of real systems, but they are typically hard to control and study both theoretically and experimentally, especially in the quantum case. Here we explore a…

Quantum Gases · Physics 2013-09-12 C. D'Errico , M. Moratti , E. Lucioni , L. Tanzi , B. Deissler , M. Inguscio , G. Modugno , M. B. Plenio , F. Caruso

The topology of a pure state of two entangled photons is leveraged to provide a discretization of quantum information. Since discrete signals are inherently more resilient to the effects of perturbations, this discrete class of entanglement…

Quantum Physics · Physics 2024-11-01 Robert de Mello Koch , Bo-Qiang Lu , Pedro Ornelas , Isaac Nape , Andrew Forbes

A probing scheme is considered with an accessible and controllable qubit, used to probe an out-of equilibrium system consisting of a second qubit interacting with an environment. Quantum spontaneous synchronization between the probe and the…

Quantum Physics · Physics 2019-01-17 Gabriel Garau Estarellas , Gian Luca Giorgi , Miguel C. Soriano , Roberta Zambrini

Characterizing noisy quantum processes is important to quantum computation and communication (QCC), since quantum systems are generally open. To date, all methods of characterization of quantum dynamics (CQD), typically implemented by…

Quantum Physics · Physics 2015-01-28 S. Omkar , R. Srikanth , S. Banerjee

In the study of the thermalization of closed quantum systems, the role of kinetic constraints on the temporal dynamics and the eventual thermalization is attracting significant interest. Kinetic constraints typically lead to long-lived…

Disordered Systems and Neural Networks · Physics 2024-03-29 Karl Royen , Suman Mondal , Frank Pollmann , Fabian Heidrich-Meisner

Quantum circuits with local particle number conservation (LPNC) restrict the quantum computation to a subspace of the Hilbert space of the qubit register. In a noiseless or fault-tolerant quantum computation, such quantities are preserved.…

Quantum Physics · Physics 2021-04-21 Michael Streif , Martin Leib , Filip Wudarski , Eleanor Rieffel , Zhihui Wang

The phenomenon of localization is usually accompanied with the presence of quenched disorder. To what extent disorder is necessary for localization is a well-known open problem. In this paper, we prove the instability of localization in…

Disordered Systems and Neural Networks · Physics 2020-01-06 Yichen Huang , Aram W. Harrow

We analyze the long time behavior of a quantum computer running a quantum error correction (QEC) code in the presence of a correlated environment. Starting from a Hamiltonian formulation of realistic noise models, and assuming that QEC is…

Quantum Physics · Physics 2008-07-11 E. Novais , Eduardo R. Mucciolo , Harold U. Baranger

We study the symmetry properties in the dynamics of quantum correlations for two-qubit systems in one-sided noisy channels, with respect to a switch in the location of noise from one qubit to the other. We consider four different channel…

Quantum Physics · Physics 2017-08-25 Henri Lyyra , Göktuğ Karpat , Chuan-Feng Li , Guang-Can Guo , Jyrki Piilo , Sabrina Maniscalco

We study many-body localised quantum systems subject to periodic driving. We find that the presence of a mobility edge anywhere in the spectrum is enough to lead to delocalisation for any driving strength and frequency. By contrast, for a…

Statistical Mechanics · Physics 2015-07-28 Achilleas Lazarides , Arnab Das , Roderich Moessner

It is desirable to observe synchronization of quantum systems in the quantum regime, defined by low number of excitations and a highly non-classical steady state of the self-sustained oscillator. Several existing proposals of observing…

Staring from the kicked rotator as a paradigm for a system exhibiting classical chaos, we discuss the role of quantum coherence resulting in dynamical localization in the kicked quantum rotator. In this context, the disorder-induced…

Statistical Mechanics · Physics 2023-07-19 L. Chotorlishvili , S. Stagraczyński , M. Schüler , J. Berakdar