Adiabatic Population Transfer with Control Fields

Demirplak, Mustafa; Rice, Stuart A.

doi:10.1021/jp030708a

Cited by 726 publications

(927 citation statements)

References 10 publications

Supporting

Mentioning

897

Contrasting

Unclassified

Order By: Relevance

“…Here, the single-component control in σ z makes optimal control much more difficult since a second operator does not exist that could be used to restore the desired adiabatic character [10], disallowing standard pulse shaping techniques [10,11] and "superadiabatic" theory [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Fast adiabatic qubit gates using onlyσzcontrol

2014

View full text Add to dashboard Cite

A controlled-phase gate was demonstrated in superconducting Xmon transmon qubits with fidelity reaching 99.4%, relying on the adiabatic interaction between the |11 and |02 states. Here we explain the theoretical concepts behind this protocol that achieves fast gate times with only σz control of the Hamiltonian, based on a theory of non-linear mapping of state errors to a power spectral density and use of optimal window functions. With a solution given in the Fourier basis, optimization is shown to be straightforward for practical cases of an arbitrary state change and finite bandwidth of control signals. We find that errors below 10 −4 are readily achievable for realistic control waveforms.

show abstract

Section: Introductionmentioning

confidence: 99%

Fast adiabatic qubit gates using onlyσzcontrol

2014

View full text Add to dashboard Cite

show abstract

“…Among other approaches let us mention (i) a transitionless tracking algorithm or "counterdiabatic" approach that adds to the original Hamiltonian extra terms to cancel transitions in the adiabatic or superadiabatic bases [8][9][10][11][12][13]; (ii) inverse engineering of the external driving [3,4,6,[21][22][23][24][25][26] based on Lewis-Riesenfeldt invariants [27], which has been applied in several expansion experiments [25,26]; (iii) optimal control (OC) methods [5,7,14,16], sometimes combined with other methods to enhance their performance [4,5,7]; (iv) the fast-forward (FF) approach advocated by Masuda and Nakamura [19,28]; (v) parallel adiabatic passage [29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Shortcuts to adiabaticity: Fast-forward approach

et al. 2012

View full text Add to dashboard Cite

The "fast-forward" approach by Masuda and Nakamura generates driving potentials to accelerate slow quantum adiabatic dynamics. First we present a streamlined version of the formalism that produces the main results in a few steps. Then we show the connection between this approach and inverse engineering based on Lewis-Riesenfeld invariants. We identify in this manner applications in which the engineered potential does not depend on the initial state. Finally we discuss more general applications exemplified by wave splitting processes.

show abstract

“…A quantum system prepared initially in a given eigenstate of an Hamiltonian H f ree can remain in the corresponding instantaneous eigenstate of H f ree (t) on adding a specially designed term H c (t) to the Hamiltonian governing the evolution of the system [12,13]. Developing different protocols for achieving STA has been the focus of several studies, for example the application of counter-adiabatic terms [12][13][14], the fast forward approach [15] to name a few together with its application to two and three level atoms [16] and to universal quantum computation [17]. STA was also extended to the case of non-Hermitian Hamiltonians [18], and to open quantum systems governed by a Lindblad dynamics [19].…”

Section: Introductionmentioning

confidence: 99%

Local shortcut to adiabaticity for quantum many-body systems

2016

View full text Add to dashboard Cite

We study the environment assisted local transitionless dynamics in closed spin systems driven through quantum critical points. In general shortcut to adaiabaticity (STA) in quantum critical systems requires highly non-local control Hamiltonians. In this work we develop an approach to achieve local shortcuts to adiabaticity (LSTA) in spin chains, using local control fields which scale polynomially with the system size, following universal critical exponents. We relate the control fields to reduced fidelity susceptibility and use transverse Ising model in one dimension to exemplify our generic results. We also extend our analysis to achieve LSTA in central spin models.

show abstract

Adiabatic Population Transfer with Control Fields

Cited by 726 publications

References 10 publications

Fast adiabatic qubit gates using onlyσzcontrol

Fast adiabatic qubit gates using onlyσzcontrol

Shortcuts to adiabaticity: Fast-forward approach

Local shortcut to adiabaticity for quantum many-body systems

Contact Info

Product

Resources

About