Method for Generating Randomly Perturbed Density Operators Subject to Different Sets of Constraints
arXiv:2112.12247 · doi:10.1007/s11128-022-03651-1
Abstract
This paper presents a general method for producing randomly perturbed density operators subject to different sets of constraints. The perturbed density operators are a specified "distance" away from the state described by the original density operator. This approach is applied to a bipartite system of qubits and used to examine the sensitivity of various entanglement measures on the perturbation magnitude. The constraint sets used include constant energy, constant entropy, and both constant energy and entropy. The method is then applied to produce perturbed random quantum states that correspond with those obtained experimentally for Bell states on the IBM quantum device ibmq_manila. The results show that the methodology can be used to simulate the outcome of real quantum devices where noise, which is important both in theory and simulation, is present.
arXiv comment14 pages, 16 figures
References in corpus (28)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Entanglement of a Pair of Quantum Bits
- Distance measures to compare real and ideal quantum processes
- Sudden transition between classical and quantum decoherence
- Experimental investigation of classical and quantum correlations under decoherence
- Maximum Likelihood, Minimum Effort
- Learning-based quantum error mitigation
- System-reservoir dynamics of quantum and classical correlations
- Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications
- Quantum Discord and the Geometry of Bell-Diagonal States
- Toward computability of trace distance discord
- Average fidelity between random quantum states
- Quantum Fisher information from randomized measurements
- Nonlinear Quantum Evolution Equations to Model Irreversible Adiabatic Relaxation with Maximal Entropy Production and Other Nonunitary Processes
- Error mitigation via verified phase estimation
- Benchmarking Coherent Errors in Controlled-Phase Gates due to Spectator Qubits
- Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions
- Parametrizations of density matrices
- Quantum systems correlated with a finite bath: nonequilibrium dynamics and thermodynamics
- Nonlocal quantum correlations under amplitude damping decoherence
- Impact of quantum noise on the training of quantum Generative Adversarial Networks
- Random Sampling of Quantum States: A Survey of Methods
- Average subentropy, coherence and entanglement of random mixed quantum states
- Understanding entanglement sudden death through multipartite entanglement and quantum correlations
- The effect of quantum noise on algorithmic perfect quantum state transfer on NISQ processors
- Average coherence and its typicality for random mixed quantum states
- Time-invariant entanglement and sudden death of non-locality