Teleportation based detection of quantum critical points using small spin chains
arXiv:2508.15936 · doi:10.1142/S0129183125430016
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.
24 pages, 10 figures, single column, online ready version to appear at Int. J. Mod. Phys. C
References in corpus (41)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement in a simple quantum phase transition
- Building logical qubits in a superconducting quantum computing system
- Fidelity approach to quantum phase transitions
- Classical Correlation and Quantum Discord in Critical Systems
- Observable measure of quantum coherence in finite dimensional systems
- Computing with spin qubits at the surface code error threshold
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Fast universal quantum control above the fault-tolerance threshold in silicon
- Quantum Phase Transitions and Bipartite Entanglement
- Entanglement versus Correlations in Spin Systems
- Quantum discord and quantum phase transition in spin chains
- Zeeman energy and spin relaxation in a one-electron quantum dot
- Thermal and Magnetic Quantum Discord in Heisenberg models
- Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
- Precision tomography of a three-qubit donor quantum processor in silicon
- Quantum coherence and uncertainty in the anisotropic XY chain
- Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
- Entanglement teleportation via thermally entangled states of two-qubit Heisenberg XX chain
- Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain
- Quantum Energy Teleportation in Spin Chain Systems
- A Protocol for Quantum Energy Distribution
- Beating the Standard Quantum Limit under Ambient Conditions with Solid-State Spins
- Short-distance thermal correlations in the massive XXZ chain
- Demonstration of Quantum Energy Teleportation on Superconducting Quantum Hardware
- Probabilistic quantum teleportation via thermal entanglement
- Short-distance thermal correlations in the XXZ chain
- Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic -chain at finite temperatures
- Criticality of quantum energy teleportation at phase transition points in quantum field theory
- Qubit(s) transfer in helical spin chains
- Many-body localization phase in a spin-driven chiral multiferroic chain
- Quantum channels in random spin chains
- Investigating global and topological order of states by local measurement and classical communication: Study on SPT phase diagrams by quantum energy teleportation
- Detection of quantum phase boundary at finite temperatures in integrable spin models
- Quantum Discord, Decoherence and Quantum Phase Transitions
- Challenges in certifying quantum teleportation: moving beyond conventional fidelity benchmark
- Finite temperature detection of quantum critical points: a comparative study
- Optimal quantum teleportation protocols for fixed average fidelity
- Finite temperature detection of quantum critical points via internal quantum teleportation
- Signature of quantum phase transition manifested in quantum fidelity at finite temperature