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The quantum efficiency, which characterizes the quality of information gain against information loss, is an important figure of merit for any realistic quantum detectors in the gradual process of collapsing the state being measured. In this…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Yin Ye , Jing Ping , HuJun Jiao , Shu-Shen Li , Xin-Qi Li

We solve the master equations of two charged qubits measured by a single-electron transistor (SET) consisted of two islands. We show that in the sequential tunneling regime the SET current can be used for reading out results of quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Tetsufumi Tanamoto , Xuedong Hu

We analyze the continuous monitoring of a qudit coupled to a cavity using both phase-preserving and phase-sensitive amplification. The quantum trajectories of the system are described by a stochastic master equation, for which we derive the…

Quantum Physics · Physics 2022-06-07 John Steinmetz , Debmalya Das , Irfan Siddiqi , Andrew N. Jordan

We evaluate the detector nonideality (and energy sensitivity) of a normal-state single-electron transistor (SET) in the cotunneling regime in a two-charge-state approximation. For small conductances and at zero temperature, the SET's…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Alec Maassen van den Brink

We report an experimental observation of the backaction of a Single Electron Transistor (SET) measuring the Coulomb staircase of a single electron box. As current flows through the SET, the charge state of the SET island fluctuates. These…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. A. Turek , K. W. Lehnert , A. Clerk , D. Gunnarsson , K. Bladh , P. Delsing , R. J. Schoelkopf

Conventional quantum trajectory theory developed in quantum optics is largely based on the physical unravelling of Lindbald-type master equation, which constitutes the theoretical basis of continuous quantum measurement and feedback…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Shi-Kuan Wang , Jinshuang Jin , Xin-Qi Li

The single electron transistor (SET) is a prime candidate for reading out the final state of a qubit in a solid state quantum computer. Such a measurement requires the detection of sub-electron charge motion in the presence of random…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. M. Buehler , D. J. Reilly , R. Brenner , A. R. Hamilton , A. S. Dzurak , R. G. Clark

We analyze the operation of a switching-based detector that probes a qubit's observable that does not commute with the qubit's Hamiltonian, leading to a nontrivial interplay between the measurement and free-qubit dynamics. In order to…

Quantum Physics · Physics 2009-05-07 S. Ashhab , J. Q. You , Franco Nori

We derive the quantum trajectory or stochastic (conditional) master equation for a single superconducting Cooper-pair box (SCB) charge qubit measured by a single-electron transistor (SET) detector. This stochastic master equation describes…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hsi-Sheng Goan

We describe the conditional and unconditional dynamics of two coupled quantum dots when one dot is subjected to a measurement of its occupation number using a single electron transistor (SET). The measurement is made when the bare tunneling…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 H. M. Wiseman , Dian Wahyu Utami , He Bi Sun , G. J. Milburn , B. E. Kane , A. Dzurak , R. G. Clark

Single electron transistors (SETs) are very sensitive electrometers and they can be used in a range of applications. In this paper we give an introduction to the SET and present a full quantum mechanical calculation of how noise is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Johansson , P. Delsing , K. Bladh , D. Gunnarsson , T. Duty , A. Käck , G. Wendin , A. Aassime

Single-electron transistors have been proposed to be used as a read-out device for Cooper pair charge qubits. Here we show that a coupled superconducting transistor at a threshold voltage is much more effective in measuring the state of a…

Superconductivity · Physics 2009-11-07 J. Kinnunen , P. Torma , J. P. Pekola

The single electron transistor (SET) offers unparalled opportunities as a nano-scale electrometer, capable of measuring sub-electron charge variations. SETs have been proposed for read-out schema in solid-state quantum computing where…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vincent I. Conrad , Andrew D. Greentree , David N. Jamieson , Lloyd C. L. Hollenberg

We calculate the spectral density of voltage fluctuations in a Single Electron Transistor (SET), biased to operate in a transport mode where tunneling events are correlated due to Coulomb interaction. The whole spectrum from low frequency…

Condensed Matter · Physics 2009-11-07 Goran Johansson , Andreas Kack , Goran Wendin

We propose a scheme for monitoring coherent quantum dynamics with good time-resolution and low backaction, which relies on the response of the considered quantum system to high-frequency ac driving. An approximate analytical solution of the…

Mesoscale and Nanoscale Physics · Physics 2009-01-26 Georg M. Reuther , David Zueco , Peter Hänggi , Sigmund Kohler

We consider a system of two solid state charge qubits, coupled to a single read-out device, consisting of a single-electron transistor (SET). The conductance of each tunnel junction is influenced by its neighboring qubit, and thus the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 J. Li , G. Johansson

Measuring a quantum system can randomly perturb its state. The strength and nature of this back-action depends on the quantity which is measured. In a partial measurement performed by an ideal apparatus, quantum physics predicts that the…

We study the quantum charge noise and measurement properties of the double Cooper pair resonance point in a superconducting single-electron transistor (SSET) coupled to a Josephson charge qubit. Using a density matrix approach for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. A. Clerk , S. M. Girvin , A. K. Nguyen , A. D. Stone

We investigate qubit measurements using a single electron transistor (SET). Applying the Schr\"odinger equation to the entire system we find that an asymmetric SET is considerably more efficient than a symmetric SET. The asymmetric SET…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. A. Gurvitz , G. P. Berman

Recent studies of silicon spin qubits at temperatures above 1 K are encouraging demonstrations that the cooling requirements for solid-state quantum computing can be considerably relaxed. However, qubit readout mechanisms that rely on…

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