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Entanglement between the constituents of a quantum system is an essential resource in the implementation of many quantum processes and algorithms. Indeed, universal quantum computation is possible by measuring individual qubits comprising…

Quantum Physics · Physics 2012-02-10 David L. Feder

Much has been learned about universal properties of the eigenstate entanglement entropy for one-dimensional lattice models, which is described by a Hermitian Hamiltonian. While very less of it has been understood for non-Hermitian systems.…

Statistical Mechanics · Physics 2021-06-25 Ranjan Modak , Bhabani Prasad Mandal

We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and…

Quantum Physics · Physics 2022-07-07 T. Boorman , M. Szyniszewski , H. Schomerus , A. Romito

We investigate the problem of the superuniversality of the phase transition between different quantum Hall plateaus. We construct a set of models which give a qualitative description of this transition in a pure system of interacting…

Condensed Matter · Physics 2019-08-15 Eduardo Fradkin , Steven Kivelson

Quantum mechanics for a four-state-system is derived from classical statistics. Entanglement, interference, the difference between identical fermions or bosons and the unitary time evolution find an interpretation within a classical…

Quantum Physics · Physics 2009-10-06 C. Wetterich

Generalized quantum measurements identifying non-orthogonal states without ambiguity often play an indispensable role in various quantum applications. For such unambiguous state discrimination scenario, we have a finite probability of…

Quantum Physics · Physics 2021-04-16 Shuro Izumi , Jonas S. Neergaard-Nielsen , Ulrik L. Andersen

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

Statistical Mechanics · Physics 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

Motivated by recent progress of quantum technologies, we study a discretized quantum adiabatic process for a one-dimensional free fermion system described by a variational wave function, i.e., a parametrized quantum circuit. The wave…

Quantum Physics · Physics 2021-01-06 Tomonori Shirakawa , Kazuhiro Seki , Seiji Yunoki

The theory of phase control of coherence, entanglement and quantum steering is developed for an optomechanical system composed of a single mode cavity containing a partially transmitting dielectric membrane and driven by short laser pulses.…

Quantum Physics · Physics 2017-12-25 F. X. Sun , D. Mao , Y. T. Dai , Z. Ficek , Q. Y. He , Q. H. Gong

We compute the fidelity between the ground states of general quadratic fermionic hamiltonians and analyze its connections with quantum phase transitions. Each of these systems is characterized by a $L\times L$ real matrix whose polar…

Quantum Physics · Physics 2015-06-26 P. Zanardi , M. Cozzini , P. Giorda

The Wannier-Stark localization dynamically alters the entanglement behavior of non-Hermitian free fermions. Utilizing the single-particle correlation matrix technique, we analyze the effective Hamiltonian of these fermions with a…

Quantum Physics · Physics 2024-09-26 Han-Ze Li , Minhui Wan , Jian-Xin Zhong

A general framework for analyzing the recently discovered phase transitions in the steady state of dissipation-driven open quantum systems is still missing. In order to fill this gap we extend the so-called fidelity approach to quantum…

Quantum Physics · Physics 2014-02-12 Leonardo Banchi , Paolo Giorda , Paolo Zanardi

We study the competing effects of collective generalized measurements and interaction-induced scrambling in the dynamics of an ensemble of spin-1/2 particles at the level of quantum trajectories. This setup can be considered as analogous to…

Quantum Physics · Physics 2024-01-24 Pablo M. Poggi , Manuel H. Muñoz-Arias

Quantum circuits offer a versatile platform for simulating digital quantum dynamics and uncovering novel states of non-equilibrium quantum matter. One principal example are measurement-induced phase transitions arising from non-unitary…

Quantum Physics · Physics 2025-06-10 Kai Klocke , Daniel Simm , Guo-Yi Zhu , Simon Trebst , Michael Buchhold

We propose active steering protocols for quantum state preparation in quantum circuits where each system qubit is connected to a single detector qubit, employing a simple coupling selected from a small set of steering operators. The…

Quantum Physics · Physics 2024-03-07 Samuel Morales , Yuval Gefen , Igor Gornyi , Alex Zazunov , Reinhold Egger

We study the influence of feedback operations on the dynamics of $(d+1)$-dimensional monitored random quantum circuit. Competition between unitary dynamics and measurements leads to an entanglement phase transition, while the feedback…

Statistical Mechanics · Physics 2024-02-23 Piotr Sierant , Xhek Turkeshi

We discuss on general grounds some local indicators of entanglement, that have been proposed recently for the study and classification of quantum phase transitions. In particular, we focus on the capability of entanglement in detecting…

Quantum Physics · Physics 2007-05-23 L. Campos Venuti , C. Degli Esposti Boschi , G. Morandi , M. Roncaglia , A. Scaramucci

We consider a spin ladder model which is known to have matrix product states as exact ground states with spin liquid characteristics. The model has two critical-point transitions at the parameter values u=0 and infinity. We study the…

Quantum Physics · Physics 2008-03-18 Amit Tribedi , Indrani Bose

Local measurements in quantum systems are projective operations which act to counteract the spread of quantum entanglement. Recent work has shown that local, random measurements applied to a generic volume-law entanglement generating…

Statistical Mechanics · Physics 2022-07-14 Josef Willsher , Shu-Wei Liu , Roderich Moessner , Johannes Knolle

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

Statistical Mechanics · Physics 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong