Quantum-Limited Measurement and Information in Mesoscopic Detectors

Abstract

We formulate general conditions necessary for a linear-response detector to reach the quantum limit of measurement efficiency, where the measurement-induced dephasing rate takes on its minimum possible value. These conditions are applicable to both non-interacting and interacting systems. We assess the status of these requirements in an arbitrary non-interacting scattering based detector, identifying the symmetries of the scattering matrix needed to reach the quantum limit. We show that these conditions are necessary to prevent the existence of information in the detector which is not extracted in the measurement process.

13 pages, 1 figure

Cited by in corpus (42)

• Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
• Fast Single-Charge Sensing with an rf Quantum Point Contact
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Undoing a weak quantum measurement of a solid-state qubit
• A Coherent RC Circuit
• Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
• Signatures of quantum behavior in single-qubit weak measurements
• Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
• Parity meter for charge qubits: an efficient quantum entangler
• An off-board quantum point contact as a sensitive detector of cantilever motion
• Continuous quantum measurement with independent detector cross-correlations
• Signal-to-pump back-action and self-oscillation in Double-Pump Josephson Parametric Amplifier
• Coherence oscillations in dephasing by non-Gaussian shot noise
• Quantum Nondemolition Measurement of a Kicked Qubit
• Quantum detection of electronic flying qubits
• Shot Noise in SU(N) Quantum Dot Kondo Effects
• Quantum mechanical approach to decoherence and relaxation generated by fluctuating environment
• Parity detection and entanglement with a Mach-Zehnder interferometer
• Statistics of Measurement of Non-commuting Quantum Variables: Monitoring and Purification of a qubit
• Noise and Measurement Efficiency of a Partially Coherent Mesoscopic Detector
• Output spectrum of a measuring device at arbitrary voltage and temperature
• Nondemolition measurements of a single quantum spin using Josephson oscillations
• Quantum measurement characteristics of double-dot single electron transistor
• Crossover of phase qubit dynamics in presence of negative-result weak measurement
• Quantum Zeno stabilization in weak continuous measurement of two qubits
• Phase-space theory for dispersive detectors of superconducting qubits
• Charge fluctuations in open chaotic cavities
• Improved position measurement of nano electromechanical systems using cross correlations
• Non-equilibrium theory of charge qubit decoherence in the quantum point contact measurement
• Quantum efficiency of binary-outcome detectors of solid-state qubits
• Feedback cooling of cantilever motion using a quantum point contact transducer
• Theory of a double-dot charge detector
• Remote sensing of a levitated superconductor with a flux-tunable microwave cavity
• Weak Measurement of Qubit Oscillations with Strong Response Detectors: Violation of the Fundamental Bound Imposed on Linear Detectors
• Radio frequency pulsed-gate charge spectroscopy on coupled quantum dots
• Reduced dynamics with renormalization in solid-state charge qubit measurement
• Projective versus weak measurement of charge in a mesoscopic conductor
• Improved superconducting qubit state readout by path interference
• Renormalized dynamics in charge qubit measurements by a single electron transistor
• Monitoring the energy of a cavity by observing the emission of a repeatedly excited qubit
• Restoring the second law to classical-quantum dynamics
• Quantum detectors as autonomous machines: assessing the nonequilibrium thermodynamics of information acquisition