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Shot noise in a chaotic cavity (Lyapunov exponent $\lambda$, level spacing $\delta$, linear dimension $L$), coupled by two $N$-mode point contacts to electron reservoirs, is studied as a measure of the crossover from stochastic quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , M. C. Goorden , C. W. J. Beenakker

A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik

We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Philipp Zedler , Clive Emary , Tobias Brandes , Tomas Novotny

We present a theory of finite-frequency noise in non-equilibrium conductors. It is shown that Non-Markovian correlations are essential to describe the physics of quantum noise. In particular, we show the importance of a correct treatment of…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 D. Marcos , C. Emary , T. Brandes , R. Aguado

The main challenge of quantum computing on its way to scalability is the erroneous behaviour of current devices. Understanding and predicting their impact on computations is essential to counteract these errors with methods such as quantum…

Quantum Physics · Physics 2023-06-16 Tom Weber , Kerstin Borras , Karl Jansen , Dirk Krücker , Matthias Riebisch

The controlled and accurate emission of coherent electronic wave packets is of prime importance for future applications of nano-scale electronics. Here we present a theoretical and experimental analysis of the finite-frequency noise…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 F. D. Parmentier , E. Bocquillon , J. -M. Berroir , D. C. Glattli , B. Plaçais , G. Fève , M. Albert , C. Flindt , M. Büttiker

In quantum information processing, knowledge of the noise in the system is crucial for high-precision manipulation and tomography of coherent quantum operations. Existing strategies for identifying this noise require the use of additional…

Quantum Physics · Physics 2013-03-14 Re-Bing Wu , Tie-Fu Li , A. G. Kofman , Jing Zhang , Yu-xi Liu , Yu. A. Pashkin , Jaw-Shen Tsai , Franco Nori

A significant problem for current quantum computers is noise. While there are many distinct noise channels, the depolarizing noise model often appropriately describes average noise for large circuits involving many qubits and gates. We…

Systems near to quantum critical points show universal scaling in their response functions. We consider whether this scaling is reflected in their fluctuations; namely in current-noise. Naive scaling predicts low-temperature Johnson noise…

Strongly Correlated Electrons · Physics 2009-11-11 A. G. Green , J. E. Moore , S. L. Sondhi , A. Vishwanath

Permitting the transmission of unknown quantum states over long distances by using entanglement, quantum teleportation serves as an important building block for many quantum technologies. However, in the noisy intermediate-scale quantum…

Quantum Physics · Physics 2024-07-17 Zi-Jian Xu , Jun-Hong An

The nanomechanical single-electron shuttle is a resonant system in which a suspended metallic island oscillates between and impacts at two electrodes. This setup holds promise for one-by-one electron transport and the establishment of an…

Mesoscale and Nanoscale Physics · Physics 2013-02-21 Michael J. Moeckel , Darren R. Southworth , Eva M. Weig , Florian Marquardt

We propose a model based on a generalized effective Hamiltonian for studying the effect of noise in quantum computations. The system-environment interactions are taken into account by including stochastic fluctuating terms in the system…

Quantum Physics · Physics 2007-05-23 Y. C. Cheng , R. J. Silbey

Noise on quantum devices is much more complex than it is commonly given credit. Far from usual models of decoherence, nearly all quantum devices are plagued both by a continuum of environments and temporal instabilities. These induce noisy…

Quantum Physics · Physics 2025-08-27 Gregory A. L. White , Petar Jurcevic , Charles D. Hill , Kavan Modi

Noise and imperfections are among the prevalent challenges in quantum software engineering for current NISQ systems. They will remain important in the post-NISQ area, as logical, error-corrected qubits will be based on software mechanisms.…

Quantum Physics · Physics 2025-09-17 Stefan Raimund Maschek , Jürgen Schwitalla , Maja Franz , Wolfgang Mauerer

Consider two Fermi gases with the same {\it average} currents: a transport gas, as in solid-state experiments where the chemical potentials of terminal 1 is $\mu+eV$ and of terminal 2 and 3 is $\mu$, and a beam, i.e., electrons entering…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Gavish , Y. Levinson , Y. Imry

Qubit noise spectroscopy (QNS) is a valuable tool for both the characterization of a qubit's environment and as a precursor to more effective qubit control to improve qubit fidelities. Existing approaches to QNS are what the classical…

Within the second-order non-Markovian master equation description, we develop an efficient method for calculating the noise spectrum of transport current through interacting mesoscopic systems. By introducing proper current-related density…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Yishan Xu , Jinshuang Jin , Shikuan Wang , YiJing Yan

Single-electron tunneling processes through a double quantum dot can induce a lasing state in an electromagnetic resonator which is coupled coherently to the dot system. Here we study the noise properties of the transport current in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Jinshuang Jin , Michael Marthaler , Pei-Qing Jin , Dmitry Golubev , Gerd Schön

In the framework of the random matrix approach, we apply the theory of Selberg's integral to problems of quantum transport in chaotic cavities. All the moments of transmission eigenvalues are calculated analytically up to the fourth order.…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 D. V. Savin , H. -J. Sommers , W. Wieczorek

We examine the full counting statistics of quantum dots, which display super-Poissonian shot noise. By an extension to a generic situation with many excited states we identify the underlying transport process. The statistics is a sum of…

Strongly Correlated Electrons · Physics 2007-05-23 W. Belzig