Generation of scalable many-body Bell correlations in spin chains with
short-range two-body interactions
- URL: http://arxiv.org/abs/2306.06173v2
- Date: Thu, 2 Nov 2023 22:23:32 GMT
- Title: Generation of scalable many-body Bell correlations in spin chains with
short-range two-body interactions
- Authors: Marcin P{\l}odzie\'n, Tomasz Wasak, Emilia Witkowska, Maciej
Lewenstein, Jan Chwede\'nczuk
- Abstract summary: We show that quantum resources can be dynamically generated with a finite range of interactions.
We identify a necessary critical range and indicate a critical time when scalable quantum correlations appear.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Dynamical generation of strong and scalable quantum resources, like many-body
entanglement and Bell correlations, in spin-$1/2$ chains, is possible with
all-to-all interactions, either for constant interaction strength realizing
one-axis twisting protocol or for power-law decaying potentials. We show,
however, that such quantum resources can also be dynamically generated with a
finite range of interactions. We identify a necessary critical range and
indicate a critical time when scalable quantum correlations appear. Finally, we
show that the certification of generated states is accessible in the modern
quantum simulator platforms.
Related papers
- Inherent quantum resources in the stationary spin chains [0.0]
We show that many-body Bell correlations are inherently present in the eigenstates of a variety of spin-1/2 chains.
In particular, we show that the eigenstates and thermal states of the collective Lipkin-Meshkov-Glick model possess many-body Bell correlations.
arXiv Detail & Related papers (2024-05-27T09:11:10Z) - Bell correlations of a thermal fully-connected spin chain in a vicinity
of a quantum critical point [0.0]
Bell correlations are among the most exotic phenomena through which quantum mechanics manifests itself.
Their presence signals that the system can violate the postulates of local realism.
It is of growing interest to characterize the Bell content'' of complex, scalable many-body systems.
arXiv Detail & Related papers (2024-03-04T19:00:01Z) - Probing critical phenomena in open quantum systems using atom arrays [3.365378662696971]
At quantum critical points, correlations decay as a power law, with exponents determined by a set of universal scaling dimensions.
Here, we employ a Rydberg quantum simulator to adiabatically prepare critical ground states of both a one-dimensional ring and a two-dimensional square lattice.
By accounting for and tuning the openness of our quantum system, we are able to directly observe power-law correlations and extract the corresponding scaling dimensions.
arXiv Detail & Related papers (2024-02-23T15:21:38Z) - Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems.
We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices.
This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
arXiv Detail & Related papers (2023-06-01T16:49:20Z) - A scalable superconducting quantum simulator with long-range
connectivity based on a photonic bandgap metamaterial [0.0]
We present a quantum simulator architecture based on a linear array of qubits locally connected to a superconducting photonic-bandgap metamaterial.
The metamaterial acts both as a quantum bus mediating qubit-qubit interactions, and as a readout channel for multiplexed qubit-state measurement.
We characterize the Hamiltonian of the system using a measurement-efficient protocol based on quantum many-body chaos.
arXiv Detail & Related papers (2022-06-26T06:51:54Z) - Tuning long-range fermion-mediated interactions in cold-atom quantum
simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior.
Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z) - Quantum communication complexity beyond Bell nonlocality [87.70068711362255]
Efficient distributed computing offers a scalable strategy for solving resource-demanding tasks.
Quantum resources are well-suited to this task, offering clear strategies that can outperform classical counterparts.
We prove that a new class of communication complexity tasks can be associated to Bell-like inequalities.
arXiv Detail & Related papers (2021-06-11T18:00:09Z) - Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor.
We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z) - Controlling many-body dynamics with driven quantum scars in Rydberg atom
arrays [41.74498230885008]
We experimentally investigate non-equilibrium dynamics following rapid quenches in a many-body system composed of 3 to 200 strongly interacting qubits in one and two spatial dimensions.
We discover that scar revivals can be stabilized by periodic driving, which generates a robust subharmonic response akin to discrete time-crystalline order.
arXiv Detail & Related papers (2020-12-22T19:00:02Z) - Quantum Statistical Complexity Measure as a Signalling of Correlation
Transitions [55.41644538483948]
We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions.
We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain.
We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
arXiv Detail & Related papers (2020-02-05T00:45:21Z) - Measurement-induced dynamics of many-body systems at quantum criticality [0.0]
We study the interplay between unitary Hamiltonian driving and random local projective measurements.
The power law of the decay of quantum correlations turns out to be enhanced at the quantum transition.
arXiv Detail & Related papers (2020-01-30T18:51:01Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.