Adiabatic quantum computation

T Albash, DA Lidar - Reviews of Modern Physics, 2018 - APS
Adiabatic quantum computing (AQC) started as an approach to solving optimization
problems and has evolved into an important universal alternative to the standard circuit …

Landau–zener–stückelberg interferometry

SN Shevchenko, S Ashhab, F Nori - Physics Reports, 2010 - Elsevier
A transition between energy levels at an avoided crossing is known as a Landau–Zener
transition. When a two-level system (TLS) is subject to periodic driving with sufficiently large …

Bounds for the adiabatic approximation with applications to quantum computation

S Jansen, MB Ruskai, R Seiler - Journal of Mathematical Physics, 2007 - pubs.aip.org
The quantum adiabatic approximation has a long history, going back to Born and Fock 1
early in the development of quantum theory. Recently, the realization that the adiabatic …

Geometric and holonomic quantum computation

J Zhang, TH Kyaw, S Filipp, LC Kwek, E Sjöqvist… - Physics Reports, 2023 - Elsevier
Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

Experimental implementation of assisted quantum adiabatic passage in a single spin

J Zhang, JH Shim, I Niemeyer, T Taniguchi, T Teraji… - Physical review …, 2013 - APS
Quantum adiabatic passages can be greatly accelerated by a suitable control field, called a
counter-diabatic field, which varies during the scan through resonance. Here, we implement …

Consistency of the adiabatic theorem

MHS Amin - Physical review letters, 2009 - APS
The adiabatic theorem provides the basis for the adiabatic model of quantum computation.
Recently the conditions required for the adiabatic theorem to hold have become a subject of …

Breakdown of the adiabatic limit in low-dimensional gapless systems

A Polkovnikov, V Gritsev - Nature Physics, 2008 - nature.com
It is generally believed that a generic system can be reversibly transformed from one state to
another by a sufficiently slow change of parameters. Microscopically, this belief is often …

Superadiabatic controlled evolutions and universal quantum computation

AC Santos, MS Sarandy - Scientific reports, 2015 - nature.com
Adiabatic state engineering is a powerful technique in quantum information and quantum
control. However, its performance is limited by the adiabatic theorem of quantum mechanics …

Adiabatic state preparation of correlated wave functions with nonlinear scheduling functions and broken-symmetry wave functions

K Sugisaki, K Toyota, K Sato, D Shiomi… - Communications …, 2022 - nature.com
Adiabatic state preparation (ASP) can generate the correlated wave function by simulating
the time evolution of wave function under the time-dependent Hamiltonian that interpolates …

Entanglement of distant optomechanical systems

C Joshi, J Larson, M Jonson, E Andersson… - Physical Review A …, 2012 - APS
We theoretically investigate the possibility to generate nonclassical states of optical and
mechanical modes of optical cavities, distant from each other. A setup comprised of two …