Pauli transfer matrix direct reconstruction: channel characterization without full process tomography
arXiv:2212.11968 · doi:10.1088/2058-9565/ad04e7
Abstract
We present a tomographic protocol for the characterization of multiqubit quantum channels. We discuss a specific class of input states, for which the set of Pauli measurements at the output of the channel directly relates to its Pauli transfer matrix components. We compare our results to those of standard quantum process tomography, showing an exponential reduction in the number of different experimental configurations required by a single matrix element extraction, while keeping the same number of shots. This paves the way for more efficient experimental implementations, whenever a selective knowledge of the Pauli transfer matrix is needed. We provide several examples and simulations.
arXiv comment9 pages, 5 figures; [v2] Minor improvements and corrections
References in corpus (24)
- Advances in Quantum Metrology
- Error mitigation for short-depth quantum circuits
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Prescription for experimental determination of the dynamics of a quantum black box
- Quantum process tomography of a controlled-NOT gate
- Quantum Process Tomography: Resource Analysis of Different Strategies
- Ancilla-assisted quantum process tomography
- Maximum Likelihood, Minimum Effort
- Entanglement enhanced information transmission over a quantum channel with correlated noise
- Gate Set Tomography
- Direct Characterization of Quantum Dynamics
- Efficient estimation of Pauli channels
- Entangled states maximize the two qubit channel capacity for some Pauli channels with memory
- Introduction to Quantum Gate Set Tomography
- Experimental quantum process tomography of non trace-preserving maps
- Classical and quantum capacities of a fully correlated amplitude damping channel
- Selective and Efficient Quantum Process Tomography
- Experimental demonstration of selective quantum process tomography on an NMR quantum information processor
- A Lower Bound on the Quantum Capacity of Channels with Correlated Errors
- Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor
- Witnessing quantum capacities of correlated channels
- Information transmission over an amplitude damping channel with an arbitrary degree of memory
- Qubit noise deconvolution
- Multiqubit noise deconvolution and characterization