Implementing generalized measurements with superconducting qubits

2013/12/31 by Justin Dressel, Todd A. Brun, Alexander N. Korotkov · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Combinatorics #Computer science #Fidelity #Mathematics #Outcome (game theory) #Physics #Projection (relational algebra) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Qubit #Sequence (biology) #Superconductivity #Telecommunications #Topology (electrical circuits) #Unitary state #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physreva.90.032302

published as Phys. Rev. A 90, 032302 (2014) · 13 pages, 3 figures

arxiv created 2014/07/15 · openalex publication_date 2014/09/02 · arxiv updated 2014/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We describe a method to perform any generalized purity-preserving measurement of a qubit with techniques tailored to superconducting systems. First, we consider two methods for realizing a two-outcome partial projection: using a thresholded continuous measurement in the circuit QED setup and using an indirect ancilla qubit measurement. Second, we decompose an arbitrary purity-preserving two-outcome measurement into single-qubit unitary rotations and a partial projection. Third, we systematically reduce any multiple-outcome measurement to a sequence of such two-outcome measurements and unitary operations. Finally, we consider how to define suitable fidelity measures for multiple-outcome generalized measurements.

Citations

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• Observing the Average Trajectories of Single Photons in a Two-Slit Interferometer
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• Completely positive linear maps on complex matrices
• Introduction to Quantum Noise, Measurement and Amplification

Cited by

• Quasiprobability behind the out-of-time-ordered correlator
• Violating the modified Helstrom bound with nonprojective measurements

Related

• High-fidelity measurement of qubits encoded in multilevel superconducting circuits
• Measurement of a qubit and measurement with a qubit
• Partial Measurements of Quantum Systems
• 99.9%-fidelity in measuring a superconducting qubit
• How to use arbitrary measuring devices to perform almost perfect measurements