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The simulation of quantum lattice gauge theories faces the major challenge of maintaining gauge invariance, as various errors in the simulation push the state of the system out of the physical subspace of the system's exponentially larger…

High Energy Physics - Lattice · Physics 2025-01-23 Carter Ball

We show how engineered classical noise can be used to generate constrained Hamiltonian dynamics in atomic quantum simulators of many-body systems, taking advantage of the continuous Zeno effect. After discussing the general theoretical…

Quantum Physics · Physics 2015-06-16 K. Stannigel , P. Hauke , D. Marcos , M. Hafezi , S. Diehl , M. Dalmonte , P. Zoller

Quantum measurements profoundly influence system dynamics. They lead to complex nonequilibrium phenomena like the quantum Zeno effect, and they can be used for mitigating errors in quantum simulations. Such an ability is particularly…

Quantum Physics · Physics 2025-03-20 Matteo M. Wauters , Edoardo Ballini , Alberto Biella , Philipp Hauke

Quantum simulation of Lattice Gauge Theories has been proposed and used as a method to overcome theoretical difficulties in dealing with the non-perturbative nature of such models. In this work we focus on two important bottlenecks that…

Quantum Physics · Physics 2023-08-09 Guy Pardo , Tomer Greenberg , Aryeh Fortinsky , Nadav Katz , Erez Zohar

If frequent measurements ascertain whether a quantum system is still in a given subspace, it remains in that subspace and a quantum Zeno effect takes place. The limiting time evolution within the projected subspace is called quantum Zeno…

Mathematical Physics · Physics 2010-02-04 Paolo Facchi , Marilena Ligabò

The quantum Zeno effect, in its original form, uses frequent projective measurements to freeze the evolution of a quantum system that is initially governed by a fixed Hamiltonian. We generalize this effect simultaneously in three directions…

Mathematical Physics · Physics 2021-04-09 Tim Möbus , Michael M. Wolf

A quantum Zeno dynamics can be obtained by means of frequent measurements, frequent unitary kicks or a strong continuous coupling and yields a partition of the total Hilbert space into quantum Zeno subspaces, among which any transition is…

Quantum Physics · Physics 2014-11-18 Paolo Facchi , Giuseppe Marmo , Saverio Pascazio

Simulations of field theories on noisy quantum computers must contend with errors introduced by that noise. For gauge theories, a large class of errors violate gauge symmetry, and thus may result in unphysical processes occurring in the…

Quantum Physics · Physics 2020-05-27 Henry Lamm , Scott Lawrence , Yukari Yamauchi

The dynamics of a quantum system undergoing frequent measurements (quantum Zeno effect) is investigated. Using asymptotic analysis, the system is found to evolve unitarily in a proper subspace of the total Hilbert space. For spatial…

Quantum Physics · Physics 2016-09-08 P. Facchi , S. Pascazio , A. Scardicchio , L. S. Schulman

If frequent measurements ascertain whether a quantum system is still in its initial state, transitions to other states are hindered and the quantum Zeno effect takes place. However, in its broader formulation, the quantum Zeno effect does…

Mathematical Physics · Physics 2009-03-20 P. Facchi , S. Pascazio

According to the quantum Zeno effect, the frequent observations of a system can dramatically slow down its dynamical evolution. We show that the Zeno dynamics is the result of projective measurements among quantum states which are…

Quantum Physics · Physics 2010-02-19 Augusto Smerzi

We study the quantum Zeno effect in quantum statistical mechanics within the operator algebraic framework. We formulate a condition for the appearance of the effect in W*-dynamical systems, in terms of the short-time behaviour of the…

Mathematical Physics · Physics 2009-11-07 Andreas U. Schmidt

Quantum Zeno Dynamics is the phenomenon that the observation or strong driving of a quantum system can freeze its dynamics to a subspace, effectively truncating the Hilbert space of the system. It represents the quantum version of the…

Quantum Physics · Physics 2018-03-30 Matthias M. Müller , Stefano Gherardini , Filippo Caruso

The evolution of a quantum system undergoing very frequent measurements takes place in a proper subspace of the total Hilbert space (quantum Zeno effect). When the measuring apparatus is included in the quantum description, the Zeno effect…

Quantum Physics · Physics 2017-08-23 P. Facchi

We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge…

High Energy Physics - Lattice · Physics 2021-02-02 Arata Yamamoto

We construct an algorithm for suppressing the transitions of a quantum mechanical system, initially prepared in a subspace P of the full Hilbert space of the system, to outside this subspace by subjecting it to a sequence of unequally…

Quantum Physics · Physics 2007-05-23 Deepak Dhar , Lov K. Grover , Shasanka M. Roy

The quantum Zeno evolution of a quantum system takes place in a proper subspace of the total Hilbert space. The physical and mathematical features of the "Zeno subspaces" depend on the measuring apparatus: when this is included in the…

Quantum Physics · Physics 2017-08-23 P. Facchi , S. Pascazio

We observe the quantum Zeno effect -- where the act of measurement slows the rate of quantum state transitions -- in a superconducting qubit using linear circuit quantum electrodynamics readout and a near-quantum-limited following…

Quantum Physics · Physics 2016-05-20 D. H. Slichter , C. Müller , R. Vijay , S. J. Weber , A. Blais , I. Siddiqi

The evolution of a quantum system undergoing very frequent measurements takes place in a subspace of the total Hilbert space (quantum Zeno effect). The dynamical properties of this evolution are investigated and several examples are…

Quantum Physics · Physics 2009-11-06 P. Facchi , V. Gorini , G. Marmo , S. Pascazio , E. C. G. Sudarshan

Frequent observation of a quantum system leads to quantum Zeno physics, where the system evolution is constrained to states commensurate with the measurement outcome. We show that, more generally, the system can evolve between such states…

Quantum Physics · Physics 2016-08-03 Thomas J. Elliott , Vlatko Vedral
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