Practical Characterization of Quantum Devices without Tomography

2011/04/30 by Marcus P. da Silva, Olivier Landon-Cardinal, David Poulin · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Characterization (materials science) #Computer science #Fidelity #Mathematics #Medical physics #Optics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum information #Quantum mechanics #Quantum state #Quantum tomography #Reduction (mathematics) #Statistical physics #Tomography #quant-ph

paper · pdf · doi:10.1103/physrevlett.107.210404

published as Phys. Rev. Lett. 107, 210404 (2011) · (v1) 11 pages, 1 table, 4 figures. (v2) See also the closely related work: arXiv:1104.4695 (v3) method extended to continuous variable systems (v4) updated to published version

openalex publication_date 2011/11/16 · arxiv created 2011/11/18 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum tomography is the main method used to assess the quality of quantum information processing devices. However, the amount of resources needed for quantum tomography is exponential in the device size. Part of the problem is that tomography generates much more information than is usually sought. Taking a more targeted approach, we develop schemes that enable (i) estimating the fidelity of an experiment to a theoretical ideal description, (ii) learning which description within a reduced subset best matches the experimental data. Both these approaches yield a significant reduction in resources compared to tomography. In particular, we demonstrate that fidelity can be estimated from a number of simple experiments that is independent of the system size, removing an important roadblock for the experimental study of larger quantum information processing units.

Citations

• Direct Fidelity Estimation from Few Pauli Measurements
• Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Complete Characterization of a Quantum Process: The Two-Bit Quantum Gate
• Demonstration of conditional gate operation using superconducting charge qubits
• Approximate quantum Fourier transform and decoherence
• Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
• Density Operators and Quasiprobability Distributions
• Manipulating quantum entanglement with atoms and photons in a cavity
• Learning and testing algorithms for the Clifford group
• Matrix product states represent ground states faithfully
• 14-Qubit Entanglement: Creation and Coherence
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Completely positive linear maps on complex matrices
• Scalable multi-particle entanglement of trapped ions
• Teleportation of Continuous Quantum Variables
• On the Quantum Correction For Thermodynamic Equilibrium
• Stabilizer Codes and Quantum Error Correction

Cited by

• Experimentally efficient methods for estimating the performance of quantum measurements
• Low-overhead error detection with spacetime codes
• Efficient tomography of a quantum many-body system
• Practical variational tomography for critical one-dimensional systems
• Compressed sensing quantum process tomography for superconducting quantum gates
• Quantum Hamiltonian Identification from Measurement Time Traces
• Analytical error analysis of Clifford gates by the fault-path tracer method
• Towards the standardization of quantum state verification using optimal strategies