Experimental observation of information flow in the anti-$\mathcal{P}\mathcal{T}$-symmetric system

Abstract

The recently theoretical and experimental researches related to $\mathcal{P}\mathcal{T}$-symmetric system have attracted unprecedented attention because of various novel features and potentials in extending canonical quantum mechanics. However, as the counterpart of $\mathcal{P}\mathcal{T}$-symmetry, there are only a few researches on anti-$\mathcal{P}\mathcal{T}$-symmetry. Here, we propose an algorithm for simulating the universal anti-$\mathcal{P}\mathcal{T}$-symmetric system with quantum circuit. Utilizing the protocols, an oscillation of information flow is observed for the first time in our Nuclear Magnetic Resonance quantum simulator. We will show that information will recover from the environment completely when the anti-$\mathcal{P}\mathcal{T}$-symmetry is broken, whereas no information can be retrieved in the symmetry-unbroken phase. Our work opens the gate for practical quantum simulation and experimental investigation of universal anti-$\mathcal{P}\mathcal{T}$-symmetric system in quantum computer.

References in corpus (36)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Concentrating Partial Entanglement by Local Operations
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Complex Extension of Quantum Mechanics
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Non-Markovian dynamics in open quantum systems
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Entanglement and non-Markovianity of quantum evolutions
• Hamiltonian Simulation by Qubitization
• Optimal Hamiltonian Simulation by Quantum Signal Processing
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Observation of parity-time symmetry breaking in a single spin system
• Faster than Hermitian Quantum Mechanics
• Quantum state tomography across the exceptional point in a single dissipative qubit
• The General Quantum Interference Principle and the Duality Computer
• Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
• Dynamically encircling an exceptional point in anti-PT-symmetric systems: asymmetric mode switching for symmetry-broken states
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• General description of quasi-adiabatic dynamical phenomena near exceptional points
• Antisymmetric PT-photonic structures with balanced positive and negative index materials
• Mixed-state evolution in the presence of gain and loss
• Entanglement and spin squeezing in non-Hermitian phase transitions
• Local PT symmetry violates the no-signaling principle
• Observation of Fast Evolution in Parity-Time-Symmetric System
• Non-Markovianity through flow of information between a system and an environment
• Increase of entanglement by local PT -symmetric operations
• Entanglement in non-unitary quantum critical spin chains
• Odd-time reversal $PT$ symmetry induced by anti-$PT$-symmetric medium
• Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
• Complex Correspondence Principle
• Tomography is necessary for universal entanglement detection with single-copy observables
• Information flow versus divisibility for qubit evolution
• PT-symmetric quantum state discrimination
• NMRCloudQ: A Quantum Cloud Experience on a Nuclear Magnetic Resonance Quantum Computer
• Optimal experiment design for quantum state tomography

Cited by in corpus (21)

• Experimental realization of sensitivity enhancement and suppression with exceptional surfaces
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Experimental demonstration of coherence flow in $\mathcal{P}\mathcal{T}$- and anti-$\mathcal{P}\mathcal{T}$-symmetric systems
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Kerr gyroscope
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{P}\mathcal{T}$ symmetry
• Entanglement Dynamics in Anti-$\mathcal{P}\mathcal{T}$-Symmetric Systems
• Energy-level-attraction and heating-resistant-cooling of mechanical resonators with exceptional points
• Quantum Fisher Information Perspective on Sensing in Anti-PT Symmetric Systems
• Anti-PT-symmetry-enhanced interconversion between microwave and optical fields
• Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Unified entropies and quantum speed limits for nonunitary dynamics
• A full circuit-based quantum algorithm for excited-states in quantum chemistry
• Quantum Mpemba effect in parity-time symmetric systems
• Experimental demonstration of the dynamics of quantum coherence evolving under a PT-symmetric Hamiltonian on an NMR quantum processor
• Protection of quantum evolutions under parity-time symmetric non-Hermitian Hamiltonians by dynamical decoupling
• Enhanced response at exceptional points in multi-qubit systems for sensing
• Witnessing criticality in non-Hermitian systems via entropic uncertainty relation
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Qubit: Decoherence and Entanglement Entropy
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Non-Hermiticity induced thermal entanglement phase transition