Toward a quantum computing algorithm to quantify classical and quantum correlation of system states
arXiv:2111.09000 · doi:10.1007/s11128-021-03331-6
Abstract
Optimal measurement is required to obtain the quantum and classical correlations of a quantum state, and the crucial difficulty is how to acquire the maximal information about one system by measuring the other part; in other words, getting the maximum information corresponds to preparing the best measurement operators. Within a general setup, we designed a variational hybrid quantum-classical (VHQC) algorithm to achieve classical and quantum correlations for system states under the Noisy-Intermediate Scale Quantum (NISQ) technology. To employ, first, we map the density matrix to the vector representation, which displays it in a doubled Hilbert space, and it's converted to a pure state. Then we apply the measurement operators to a part of the subsystem and use variational principle and a classical optimization for the determination of the amount of correlation. We numerically test the performance of our algorithm at finding a correlation of some density matrices, and the output of our algorithm is compatible with the exact calculation.
References in corpus (41)
- Quantum Computing in the NISQ era and beyond
- A variational eigenvalue solver on a quantum processor
- Introducing Quantum Discord
- Classical, quantum and total correlations
- The theory of variational hybrid quantum-classical algorithms
- A Quantum Approximate Optimization Algorithm
- The classical-quantum boundary for correlations: discord and related measures
- Simulated Quantum Computation of Molecular Energies
- Quantum principal component analysis
- Quantum discord for two-qubit X-states
- Variational ansatz-based quantum simulation of imaginary time evolution
- Theory of variational quantum simulation
- Variational quantum algorithms for nonlinear problems
- Quantum discord for general two--qubit states: Analytical progress
- Subspace-search variational quantum eigensolver for excited states
- Variational quantum algorithms for discovering Hamiltonian spectra
- Variational quantum simulation of general processes
- Accelerated Variational Quantum Eigensolver
- Quantum discord and its allies: a review
- Variational Quantum State Diagonalization
- Variational Quantum State Eigensolver
- Adiabatic quantum algorithm for search engine ranking
- A Variational Quantum Algorithm for Preparing Quantum Gibbs States
- Quantum correlations and synchronization measures
- Quantum discord and classical correlations in the bond-charge Hubbard model: quantum phase transitions, ODLRO and violation of the monogamy property for discord
- Variational Quantum Algorithm for Non-equilibrium Steady States
- Monogamy of quantum correlations reveals frustration in a quantum Ising spin system: Experimental demonstration
- Quantum discord evolution of three-qubit states under noisy channels
- Optimal superdense coding of entangled states
- Quantum Discord for Systems
- QVECTOR: an algorithm for device-tailored quantum error correction
- Calculation of quantum discord in arbitrary dimensions, especially for X- and other specialized states
- Detecting three-qubit bound MUB diagonal entangled states via Nonlinear optimal entanglement witnesses
- Hybrid quantum variational algorithm for simulating open quantum systems with near-term devices
- Investigating a Class of Chessboard Density Matrices via Linear and Non-linear Entanglement Witnesses Constructed by Exact Convex Optimization
- Incoherent quantum algorithm dynamics of an open system with near-term devices
- Correlation dynamics of three spin under a classical dephasing environment
- Time dynamics of multiparty quantum correlations indicate energy transfer route in light-harvesting complexes
- Optimal measurement strategies for fast entanglement detection
- Quantum measurement optimization by decomposition of measurements into extremals
- An introduction to quantum measurements with a historical motivation