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In this chapter we explore the connection between mesoscopic physics and quantum computing. After giving a bibliography providing a general introduction to the subject of quantum information processing, we review the various approaches that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. P. DiVincenzo , G. Burkard , D. Loss , E. V. Sukhorukov

In practical applications of quantum information science, quantum systems can have non-negligible interactions with the environment, and this generally degrades the power of quantum protocols as it introduces noise. Counteracting this by…

Quantum Physics · Physics 2014-10-10 Filippo M. Miatto , Kevin Piché , Thomas Brougham , Robert W. Boyd

The interplay of spin-polarized electronic edge states with the dynamics of the host nuclei in quantum Hall systems presents rich and non-trivial transport physics. Here, we develop a Landauer-B\"uttiker approach to understand various…

Mesoscale and Nanoscale Physics · Physics 2018-01-08 Aniket Singha , M. H. Fauzi , Yoshiro Hirayama , Bhaskaran Muralidharan

Quantum complexity measures the difficulty of realizing a quantum process, such as preparing a state or implementing a unitary. We present an approach to quantifying the thermodynamic resources required to implement a process if the…

We perform entanglement of spin and motional degrees of freedom of a single, ground-state trapped ion through the application of a $16$ ps laser pulse. The duration of the interaction is significantly shorter than both the motional…

Quantum Physics · Physics 2024-02-23 Randall Putnam , Adam D. West , Wesley C. Campbell , Paul Hamilton

Precise control of quantum systems is of fundamental importance for quantum device engineering, such as is needed in the fields of quantum information processing, high-resolution spectroscopy and quantum metrology. When scaling up the…

Controlling quantum interference near avoided energy-level crossings is crucial for fast and reliable coherent manipulation in quantum information processing. However, achieving tunable quantum interference in atomically-precise engineered…

By looking at quantum data compression in the second quantisation, we present a new model for the efficient generation and use of variable length codes. In this picture lossless data compression can be seen as the {\em minimum energy}…

Quantum Physics · Physics 2009-11-07 Luke Rallan , Vlatko Vedral

The Landauer formula for dissipationless conductance lies at the heart of modern electronic transport, yet it remains without a clear microscopic basis. We analyze the Landauer formula microscopically, and give a straightforward quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mukunda P. Das , Frederick Green

A system of interacting qubits can be viewed as a non-i.i.d quantum information source. A possible model of such a source is provided by a quantum spin system, in which spin-1/2 particles located at sites of a lattice interact with each…

Quantum Physics · Physics 2007-07-13 Nilanjana Datta , Yuri Suhov

Landauer principle states that erasure of $N$ bit information requires an entropic cost of $Nk_B \ln 2$. This fact can easily be demonstrated by relaxation of an ideal gas consisting of $N$ particles inside a fixed volume. In this paper we…

Statistical Mechanics · Physics 2017-03-16 P. S. Pal , A. M. Jayannavar

The erasure of a classical bit of information is a dissipative process. The minimum heat produced during this operation has been theorized by Rolf Landauer in 1961 to be equal to $k_B T \ln 2$ and takes the name of Landauer limit, Landauer…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Igor Neri , Miquel López-Suárez

We briefly address Landauer's Principle and some related issues in thermal demons. We show that an error-free Turing computer works in the zero-entropy limit, which proves Landauer's derivation incorrect. To have a physical logic gate,…

General Physics · Physics 2015-06-23 Laszlo B. Kish , Claes-Goran Granqvist , Sunil P. Khatri , Janusz Smulko

Quantum autoencoders which aim at compressing quantum information in a low-dimensional latent space lie in the heart of automatic data compression in the field of quantum information. In this paper, we establish an upper bound of the…

Quantum Physics · Physics 2022-06-28 Hailan Ma , Chang-Jiang Huang , Chunlin Chen , Daoyi Dong , Yuanlong Wang , Re-Bing Wu , Guo-Yong Xiang

In thermodynamics one considers thermal systems and the maximization of entropy subject to the conservation of energy. A consequence is Landauer's erasure principle, which states that the erasure of 1 bit of information requires a minimum…

Quantum Physics · Physics 2013-11-19 Stephen M. Barnett , Joan A. Vaccaro

The electron spin is a natural two level system that allows a qubit to be encoded. When localized in a gate defined quantum dot, the electron spin provides a promising platform for a future functional quantum computer. The essential…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 Luka Trifunovic , Oliver Dial , Mircea Trif , James R. Wootton , Rediet Abebe , Amir Yacoby , Daniel Loss

We consider an overdamped nanoparticle in a driven double-well potential as a generic model of an erasable one-bit memory. We study in detail the statistics of the heat dissipated during an erasure process and show that full erasure may be…

Statistical Mechanics · Physics 2010-04-12 Raoul Dillenschneider , Eric Lutz

The Unruh-DeWitt particle detector model has found success in demonstrating quantum information channels with non-zero channel capacity between qubits and quantum fields. These detector models provide the necessary framework for…

Quantum Physics · Physics 2024-04-08 Eric W. Aspling , John A. Marohn , Michael J. Lawler

A contemporary technological milestone is to build a quantum device performing a computational task beyond the capability of any classical computer, an achievement known as quantum adversarial advantage. In what ways can the entanglement…

Quantum Physics · Physics 2020-02-05 Jacob D. Biamonte , Mauro E. S. Morales , Dax Enshan Koh

We solve Schr\"odinger equation describing a tunneling macrospin coupled to a torsional oscillator. Energy spectrum is studied for various quantum regimes. Magnetic susceptibility and noise spectrum are computed. We show that entanglement…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 D. A. Garanin , E. M. Chudnovsky