Finite temperature detection of quantum critical points via internal quantum teleportation
arXiv:2403.10193 · doi:10.1103/PhysRevA.111.012404
Abstract
We show that the teleportation protocol can be efficiently used to detect quantum critical points using finite temperature data even if all resources needed to its implementation lie within the system under investigation. Contrary to a previous proposal, there is no need to use an external qubit as the input state to be teleported to one of the qubits within the system. Here, we use a pair of nearest neighbor spins from an infinite spin-1/2 chain in equilibrium with a heat bath as the entangled resource of the quantum teleportation protocol and a third adjacent qubit within the chain itself as the input state to be teleported. For several spin chain models subjected to an external magnetic field, we show that the efficiency of the teleportation protocol is severely affected as we cross the quantum critical points associated with those spin chains. This abrupt change in efficiency gives us a clear indication of a quantum phase transition.
15 pages, 19 figures, RevTex4; v2: Sec. II expanded; v3: published version
References in corpus (60)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Introducing Quantum Discord
- Classical, quantum and total correlations
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement in a simple quantum phase transition
- Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
- Building logical qubits in a superconducting quantum computing system
- 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
- A 10-qubit solid-state spin register with quantum memory up to one minute
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- Quantum discord and quantum phase transition in spin chains
- Zeeman energy and spin relaxation in a one-electron quantum dot
- Computing quantum discord is NP-complete
- Thermodynamics of the Anisotropic Spin-1/2 Heisenberg Chain and Related Quantum Chains
- 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
- Long-distance entanglement in spin systems
- Multipartite Entanglement Signature of Quantum Phase Transitions
- Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
- Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain
- Entanglement teleportation via thermally entangled states of two-qubit Heisenberg XX chain
- Long-distance entanglement and quantum teleportation in XX spin chains
- Generalized Quantum State Sharing
- Generalized Teleportation Protocol
- Fighting noise with noise in realistic quantum teleportation
- Qubit Teleportation and Transfer across Antiferromagnetic Spin Chains
- Genuine Multipartite Entanglement in Quantum Phase Transitions
- Spotlighting quantum critical points via quantum correlations at finite temperatures
- Quantum Energy Teleportation in Spin Chain Systems
- A Protocol for Quantum Energy Distribution
- Variational preparation of finite-temperature states on a quantum computer
- Beating the Standard Quantum Limit under Ambient Conditions with Solid-State Spins
- Short-distance thermal correlations in the massive XXZ chain
- Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain
- Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
- Probabilistic quantum teleportation in the presence of noise
- 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
- Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
- Generalized Quantum Telecloning
- Investigating global and topological order of states by local measurement and classical communication: Study on SPT phase diagrams by quantum energy teleportation
- Critical behavior of Ising model by preparing thermal state on quantum computer
- Heat bath in a quantum circuit
- Detecting quantum critical points at finite temperature via quantum teleportation: further models
- Challenges in certifying quantum teleportation: moving beyond conventional fidelity benchmark
- Detecting quantum critical points at finite temperature via quantum teleportation
- Discrete and generalized phase space techniques in critical quantum spin chains
- Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems
- Optimal quantum teleportation protocols for fixed average fidelity