Teleportation based detection of quantum critical points using small spin chains

• URL: http://arxiv.org/abs/2508.15936v1
• Date: Thu, 21 Aug 2025 20:01:29 GMT
• Title: Teleportation based detection of quantum critical points using small spin chains
• Authors: G. A. P. Ribeiro, Gustavo Rigolin,
• Abstract summary: We show that the teleportation based quantum critical point (QCP) detectors can properly estimate the locations of the QCPs when we are not even close to the thermodynamic limit.<n>We show that it is possible to locate with an error of only a few percents the correct spots of the QCPs for almost all the models studied here.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show for the models here investigated that the teleportation based quantum critical point (QCP) detectors can properly estimate the locations of the QCPs when we are not even close to the thermodynamic limit (infinite spin chains) and when we only have access to finite temperature data. Specifically, by working with spin chains with about ten qubits and in equilibrium with a thermal reservoir at temperature T, we show that it is possible to locate with an error of only a few percents the correct spots of the QCPs for almost all the models studied here. The spin chains we investigate are given by the XXZ model with or without an external longitudinal magnetic field as well as the XX model, the XY model, and the Ising model, all of them subjected to an external transverse magnetic field.

Related papers

• SYK thermal expectations are classically easy at any temperature [49.788604174558564]
  We give a simple classical algorithm that approximates thermal expectations.<n>We show it has quasi-polynomial cost $nO(log n/)$ for all temperatures above a phase transition in the free energy.
  arXiv  Detail & Related papers  (2026-02-26T04:48:32Z)
• Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields [41.94295877935867]
  We study the emergence of prethermal Floquet Time Crystal (pFTC) in disordered multiferroic chains.<n>We derive the phase diagram of the model, characterizing the magnetization, entanglement, and coherence dynamics of the system.<n>We also explore the application of the pFTC as quantum sensors of AC fields.
  arXiv  Detail & Related papers  (2024-10-23T03:15:57Z)
• Quantum State Transfer in a Magnetic Atoms Chain Using a Scanning Tunneling Microscope [44.99833362998488]
  The electric control of quantum spin chains has been an outstanding goal for the few last years due to its potential use in technologies related to quantum information processing. We show the feasibility of the different steps necessary to perform controlled quantum state transfer in a $S=1/2$ titanium atoms chain employing the electric field produced by a Scanning Tunneling Microscope (STM)
  arXiv  Detail & Related papers  (2024-08-13T14:45:46Z)
• Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
  We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom. These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
  arXiv  Detail & Related papers  (2024-06-26T18:27:15Z)
• Finite temperature detection of quantum critical points: a comparative study [0.0]
  We investigate how the quantum discord, the quantum teleportation based QCP detectors, and the quantum coherence spectrum pinpoint the QCPs of several spin-$1/2$ chains. The models here studied are the $XXZ$ model with and without an external longitudinal magnetic field, the Ising transverse model, and the $XY$ model subjected to an external transverse magnetic field.
  arXiv  Detail & Related papers  (2024-06-14T16:57:02Z)
• Detecting quantum critical points at finite temperature via quantum teleportation: further models [0.0]
  In [Phys. Rev. A 107, 052420 (2023), we showed that the quantum teleportation protocol can be used to detect quantum critical points (QCPs) Here, working in the thermodynamic limit (infinite chains), we extend the previous analysis for several other spin-1/2 models. We show that the ability of this pair of qubits to faithfully teleport an external qubit from the chain is dramatically affected as we cross the QCPs related to the aforementioned models.
  arXiv  Detail & Related papers  (2023-10-31T19:32:42Z)
• Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer [0.0]
  We embed the antiferromagnetic Ising model on the Kagome lattice on the latest architecture of D-Wave's quantum annealer, the Advantage2 prototype. We show that under a finite longitudinal field the system exhibits a one-third magnetization plateau, consistent with a classical spin liquid state of reduced entropy. An anneal-pause-quench protocol is then used to extract an experimental ensemble of states resulting from the equilibration of the model at finite transverse and longitudinal field.
  arXiv  Detail & Related papers  (2023-10-10T15:22:01Z)
• Detecting quantum critical points at finite temperature via quantum teleportation [0.0]
  We show that the quantum teleportation protocol is a powerful tool to study quantum phase transitions (QPTs) at finite temperatures. We consider a pair of spins from an infinite spin-1/2 chain (XXZ model) in equilibrium with a reservoir at temperature T as the resource used by Alice and Bob to implement the teleportation protocol.
  arXiv  Detail & Related papers  (2023-04-05T14:16:12Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• Adiabatic Sensing Technique for Optimal Temperature Estimation using Trapped Ions [64.31011847952006]
  We propose an adiabatic method for optimal phonon temperature estimation using trapped ions. The relevant information of the phonon thermal distributions can be transferred to the collective spin-degree of freedom. We show that each of the thermal state probabilities is adiabatically mapped onto the respective collective spin-excitation configuration.
  arXiv  Detail & Related papers  (2020-12-16T12:58:08Z)

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.