Efficiency of Mesoscopic Detectors

Abstract

We consider a mesoscopic measuring device whose conductance is sensitive to the state of a two-level system. The detector is described with the help of its scattering matrix. Its elements can be used to calculate the relaxation and decoherence time of the system, and determine the characteristic time for a reliable measurement. We derive conditions needed for an efficient ratio of decoherence and measurement time. To illustrate the theory we discuss the distribution function of the efficiency of an ensemble of open chaotic cavities.

4 pages, 2 figures

References in corpus (2)

• Dynamics of a mesoscopic qubit under continuous quantum measurement
• Effects of Entanglement in Controlled Dephasing

Cited by in corpus (88)

• Introduction to Quantum Noise, Measurement and Amplification
• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Undoing a weak quantum measurement of a solid-state qubit
• Time-Resolved Detection of Individual Electrons in a Quantum Dot
• Quantum-Limited Measurement and Information in Mesoscopic Detectors
• Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
• A Coherent RC Circuit
• Relaxation and Zeno effect in qubit measurements
• Leggett-Garg inequality with a kicked quantum pump
• Electromagnetically induced transparency and Autler-Townes splitting in superconducting flux quantum circuits
• Spontaneous Relaxation of a Charge Qubit under Electrical Measurement
• Signatures of quantum behavior in single-qubit weak measurements
• Counting statistics and detector properties of quantum point contacts
• Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
• Parity meter for charge qubits: an efficient quantum entangler
• Nonequilibrium theory of Coulomb blockade in open quantum dots
• Rapid Ballistic Readout for Flux Qubits
• Continuous quantum measurement with independent detector cross-correlations
• Coherence oscillations in dephasing by non-Gaussian shot noise
• Quantum Nondemolition Measurement of a Kicked Qubit
• Shot Noise of a Tunnel Junction Displacement Detector
• Quadratic Quantum Measurements
• Thermal transistor and thermometer based on Coulomb-coupled conductors
• Continuous quantum measurement: inelastic tunnelling suppresses current oscillations
• Fast quantum limited read-out of a superconducting qubit using a slow oscillator
• Arrow of Time for Continuous Quantum Measurement
• Entanglement of a qubit with a single oscillator mode
• Theory of weak continuous measurements in a strongly driven quantum bit
• Quantum mechanical approach to decoherence and relaxation generated by fluctuating environment
• Parity detection and entanglement with a Mach-Zehnder interferometer
• Quantum measurement of a solid-state qubit: A unified quantum master equation approach revisited
• The information about the state of a qubit gained by a weakly coupled detector
• Sensitivity and back-action in charge qubit measurements by a strongly coupled single-electron transistor
• Statistics of Measurement of Non-commuting Quantum Variables: Monitoring and Purification of a qubit
• Measuring Which-Path Information with Coupled Electronic Mach-Zehnder Interferometers
• Inelastic Backaction due to Quantum Point Contact Charge Fluctuations
• Polarization of Nuclear Spins from the Conductance of Quantum Wire
• Noise and Measurement Efficiency of a Partially Coherent Mesoscopic Detector
• Latched Detection of Excited States in an Isolated Double Quantum Dot
• Single-electron coherence: finite temperature versus pure dephasing
• Output spectrum of a measuring device at arbitrary voltage and temperature
• Continuous quantum feedback of coherent oscillations in a solid-state qubit
• Local Friedel sum rule on graphs
• Single-Electron Effects in a Coupled Dot-Ring System
• An Electronic Mach-Zehnder Quantum Eraser
• Charge Qubit Purification by an Electronic Feedback Loop
• Decoherence of the Kondo Singlet via a Quantum Point Contact Detector
• The information about the state of a charge qubit gained by a weakly coupled quantum point contact
• Charge Detection in a Closed-Loop Aharonov-Bohm Interferometer
• Tunable entanglement generation for mobile-electron spin qubits
• Universal detector efficiency of a mesoscopic capacitor
• Quantum Zeno stabilization in weak continuous measurement of two qubits
• Back-action noise in strongly interacting systems: the dc SQUID and the interacting quantum point-contact
• Charge fluctuations in open chaotic cavities
• Improved position measurement of nano electromechanical systems using cross correlations
• On-demand maximally entangled states with a parity meter and continuous feedback
• Interacting electrodynamics of short coherent conductors in quantum circuits
• Dephasing and dissipation in qubit thermodynamics
• Quantum efficiency of binary-outcome detectors of solid-state qubits
• Entanglement, measurement, and conditional evolution of the Kondo singlet interacting with a mesoscopic detector
• Non-equilibrium theory of charge qubit decoherence in the quantum point contact measurement
• Quantum coherence control of solid-state charge qubit by means of a suboptimal feedback algorithm
• Dephasing and Measurement Efficiency via a Quantum Dot Detector
• General quantum constraints on detector noise in continuous linear measurements
• Theory of a double-dot charge detector
• Decoherence induced by electron accumulation in quantum measurement of charge qubits
• Charge and currents distribution in graphs
• Reduced dynamics with renormalization in solid-state charge qubit measurement
• Probing Anderson Localization using the Dynamics of a Qubit
• Weak Measurement of Qubit Oscillations with Strong Response Detectors: Violation of the Fundamental Bound Imposed on Linear Detectors
• Scattering Theory of Mesoscopic Detectors
• Projective versus weak measurement of charge in a mesoscopic conductor
• Decoherence and Dephasing in Kondo Tunneling through Double Quantum Dots
• Aharonov-Bohm phase operations on a double-barrier nanoring charge qubit
• Entangled quantum currents in distant mesoscopic Josephson junctions
• Heat pump driven by the shot noise of a tunnel contact
• Single-shot energetic-based estimator for entanglement in a half-parity measurement setup
• Strong coupling of a qubit to shot noise
• Continuous measurements of two qubits
• Renormalized dynamics in charge qubit measurements by a single electron transistor
• Quantum measurement of an electron in disordered potential: delocalization versus measurement voltages
• Qubit measurement using a quantum point contact with a quantum Langevin equation approach
• Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid
• Edge-state Fabry-Perot interferometer as a high sensitivity charge detector
• Backaction Dephasing by a Quantum Dot Detector
• Quantum-limited charge detection with two quantum point contacts
• The effect of noise fluctuation of a quantum tunneling device coupled to a substrate
• Ultimate charge sensitivity and efficiency of a quantum point contact with a superposed input state