Related papers: The signaling dimension of physical systems

The signaling dimension of physical systems

URL: http://arxiv.org/abs/2210.15210v1
Date: Thu, 27 Oct 2022 06:46:52 GMT
Title: The signaling dimension of physical systems
Authors: Michele Dall'Arno
Abstract summary: The signaling dimension of a physical system is the minimum dimension of a classical channel. In 2015, Frenkel and Weiner showed that the signaling dimension of any quantum system is equal to its Hilbert space dimension.
Score: 2.28438857884398
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The signaling dimension of a physical system is the minimum dimension of a classical channel that can reproduce the set of input-output correlations attainable by the given system. Here we put the signaling dimension into perspective by reviewing some of the main known results on the topic, starting from Frenkel and Weiner's 2015 breakthrough showing that the signaling dimension of any quantum system is equal to its Hilbert space dimension.

Related papers

The signaling dimension of two-dimensional and polytopic systems [2.4554686192257424]
The signaling dimension of any given physical system represents its classical simulation cost. We propose a branch and bound division-free algorithm for the exact computation of the symmetries of any given polytope. We apply our algorithm to compute the exact value of the signaling dimension for all rational Platonic, Archimedean, and Catalan solids.
arXiv Detail & Related papers (2024-07-25T02:54:21Z)
Exact Hidden Markovian Dynamics in Quantum Circuits [1.2845309023495566]
We show that the influence of the time-evolved global system on a finite subsystem can be analytically described by sequential, time-local quantum channels. The realization of exact hidden Markovian property is facilitated by a solvable condition on the underlying two-site gates in the quantum circuit.
arXiv Detail & Related papers (2024-03-21T19:42:21Z)
The signaling dimension in generalized probabilistic theories [48.99818550820575]
The signaling dimension of a given physical system quantifies the minimum dimension of a classical system required to reproduce all input/output correlations of the given system. We show that it suffices to consider extremal measurements with rayextremal effects, and we bound the number of elements of any such measurement in terms of the linear dimension. For systems with a finite number of extremal effects, we recast the problem of characterizing the extremal measurements with ray-extremal effects.
arXiv Detail & Related papers (2023-11-22T02:09:16Z)
Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
arXiv Detail & Related papers (2023-03-13T13:06:40Z)
Measurement-based Feedback Control of a Quantum System in a Harmonic Potential [0.0]
We present a formulation of measurement-based feedback control of a single quantum particle in one spatial dimension. We derive a feedback master equation and discuss a general approach to computing the steady-state solutions for arbitrary potentials.
arXiv Detail & Related papers (2022-12-23T12:47:21Z)
Decomposition of a Quantum System Into Subsystems in Finite Quantum Mechanics [0.0]
This allows to decompose a quantum system into subsystems. We propose a simple tractable model for a constructive study of decompositions of quantum systems.
arXiv Detail & Related papers (2021-04-24T17:55:23Z)
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)
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)
Quantum probes for universal gravity corrections [62.997667081978825]
We review the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system. We evaluate the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure. Our results show that quantum probes are convenient resources, providing potential enhancement in precision.
arXiv Detail & Related papers (2020-02-13T19:35:07Z)
Probing chiral edge dynamics and bulk topology of a synthetic Hall system [52.77024349608834]
Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension. We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
arXiv Detail & Related papers (2020-01-06T16:59:08Z)

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