Implementing generalized measurements with superconducting qubits
arXiv:1312.1319 · doi:10.1103/PhysRevA.90.032302
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, or 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.
13 pages, 3 figures
References in corpus (23)
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Robust randomized benchmarking of quantum processes
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Progressive field-state collapse and quantum non-demolition photon counting
- Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
- Fidelity of quantum operations
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
- Quantum back-action of variable-strength measurement
- Undoing a weak quantum measurement of a solid-state qubit
- Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
- Weak Measurements of Light Chirality with a Plasmonic Slit
- Mapping the optimal route between two quantum states
- Initialization by measurement of a two-qubit superconducting circuit
- Field locked to Fock state by quantum feedback with single photon corrections
- Experimental quantum process tomography of non trace-preserving maps
- Binary search trees for generalized measurement
- Picoradian deflection measurement with an interferometric quasi-autocollimator using weak value amplification
- High Fidelity Qubit Readout with the Superconducting Low-Inductance Undulatory Galvanometer Microwave Amplifier
- Experimental realization of programmable quantum gate
- Decomposing generalized measurements into continuous stochastic processes
- Quantum efficiency of binary-outcome detectors of solid-state qubits
Cited by in corpus (13)
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- The quasiprobability behind the out-of-time-ordered correlator
- Quantum Channel Construction with Circuit Quantum Electrodynamics
- Strengthening weak measurements of qubit out-of-time-order correlators
- Implementing and characterizing precise multi-qubit measurements
- Experimental Realization of Sequential Weak Measurements of Arbitrary Non-commuting Pauli Observables
- A Practical Introduction to Benchmarking and Characterization of Quantum Computers
- A Scheme for Performing Strong and Weak Sequential Measurements of Non-commuting Observables
- Continuous decomposition of quantum measurements via Hamiltonian feedback
- Violating the Modified Helstrom Bound with Nonprojective Measurements
- General measurements with limited resources and their application to quantum unambiguous state discrimination
- Enhancing multi-step quantum state tomography by PhaseLift
- Quantum feedback for measurement and control