Gauge invariant information concerning quantum channels
arXiv:1707.06926 · doi:10.22331/q-2018-04-11-60
Abstract
Motivated by the gate set tomography we study quantum channels from the perspective of information which is invariant with respect to the gauge realized through similarity of matrices representing channel superoperators. We thus use the complex spectrum of the superoperator to provide necessary conditions relevant for complete positivity of qubit channels and to express various metrics such as average gate fidelity.
Accepted in Quantum (2018-03-07)
References in corpus (9)
- Randomized Benchmarking of Quantum Gates
- Symmetrised Characterisation of Noisy Quantum Processes
- Estimating the Coherence of Noise
- Microwave-driven coherent operations of a semiconductor quantum dot charge qubit
- Comparing Experiments to the Fault-Tolerance Threshold
- Random Quantum Operations
- The distribution of quantum fidelities
- Multiplicative Properties of Quantum Channels
- Universality of spectra for interacting quantum chaotic systems
Cited by in corpus (14)
- Gate Set Tomography
- Experimental Characterization of Crosstalk Errors with Simultaneous Gate Set Tomography
- Experimental quantum verification in the presence of temporally correlated noise
- Quantum simulation of dissipative collective effects on noisy quantum computers
- Divisibility of qubit channels and dynamical maps
- Compressive gate set tomography
- Pauli semigroups and unistochastic quantum channels
- Spectral Quantum Tomography
- Benchmarking universal quantum gates via channel spectrum
- Operational, gauge-free quantum tomography
- On the freedom in representing quantum operations
- Quantum tomography of noisy ion-based qudits
- Perturbative tomography of small errors in quantum gates
- Quantum Process Tomography with Digital Twins of Error Matrices