Focus on Shortcuts to Adiabaticity

Campo, Adolfo del; Kim, Kihwan

doi:10.1088/1367-2630/ab1437

Cited by 72 publications

(50 citation statements)

References 94 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Under unitary dynamics, eigenvalues of the density matrix remain constant, λ n (t) = λ n (0)-denoted briefly as λ n . The equation of motion for the density matrix in this case reads ∂ t (t) = n λ n (|∂ t n t n t | + |n t ∂ t n t |) , (2) and can be recast as a Liouville-von Neumann equation, ∂ t (t) = −i[H 1 (t), (t)] (with = 1), whenever the dynamics is generated by the Hamiltonian H 1 (t) = i n (|∂ t n t n t |− n t |∂ t n t |n t n t |) . (3) This Hamiltonian generates parallel transport along each of the eigenstates |n t and is often used in proofs of the adiabatic theorem [49,50].…”

Section: Sta By Counterdiabatic Drivingmentioning

confidence: 99%

Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution

Alipour

Chenu

Rezakhani

et al. 2020

Quantum

Self Cite

View full text Add to dashboard Cite

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity designed in this fashion can be implemented in two alternative physical scenarios: one characterized by the presence of balanced gain and loss, the other involves non-Markovian dynamics with time-dependent Lindblad operators. As an illustration, we engineer superadiabatic cooling, heating, and isothermal strokes for a two-level system, and provide a protocol for the fast thermalization of a quantum oscillator.

show abstract

Section: Sta By Counterdiabatic Drivingmentioning

confidence: 99%

Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution

Alipour

Chenu

Rezakhani

et al. 2020

Quantum

Self Cite

View full text Add to dashboard Cite

show abstract

“…Among the most successful approaches are transitionless quantum driving [ 9 , 10 , 11 , 12 , 13 ], the fast-forward technique [ 14 , 15 , 16 , 17 ], and methods that rely on identifying the adiabatic invariants [ 18 , 19 , 20 , 21 ], to name just a few. For a comprehensive exposition of the field “shortcuts to adiabaticity”, we refer to recent reviews [ 22 , 23 ], a special collection of articles [ 24 ], and a perspective [ 25 ].…”

Section: Introductionmentioning

confidence: 99%

Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals

Roychowdhury

Deffner

2021

Entropy

View full text Add to dashboard Cite

Only very recently, rescaling time has been recognized as a way to achieve adiabatic dynamics in fast processes. The advantage of time-rescaling over other shortcuts to adiabaticity is that it does not depend on the eigenspectrum and eigenstates of the Hamiltonian. However, time-rescaling requires that the original dynamics are adiabatic, and in the rescaled time frame, the Hamiltonian exhibits non-trivial time-dependence. In this work, we show how time-rescaling can be applied to Dirac dynamics, and we show that all time-dependence can be absorbed into the effective potentials through a judiciously chosen unitary transformation. This is demonstrated for two experimentally relevant scenarios, namely for ion traps and adiabatic creation of Weyl points.

show abstract

“…[23,33] In this context, a set of technique named as shortcuts to adiabaticity (STA), generally including invariant-based engineering and counterdiabatic driving, has proved to be an attractive avenue to perform quantum coherent manipulations. [34][35][36] In recent years, the methods of STA have been increasingly applied to exploit optimal quantum operations on single superconducting artificial atoms both theoretically and experimentally. [37][38][39][40][41][42][43] As an interesting research direction, quantum manipulations of state swap and entanglement creation with superconducting qubits are highly desirable to scalable quantum information processing.…”

Section: Introductionmentioning

confidence: 99%

Two‐Qubit State Swap and Entanglement Creation in a Superconducting Circuit QED via Counterdiabatic Drivings

Yan

Feng

2020

Adv Quantum Tech

View full text Add to dashboard Cite

Optimal coherent control of many qubits is critical to quantum information processing. Here, an efficient scheme is proposed for implementing state swap and creating an entanglement with two superconducting qubits in a circuit quantum electrodynamics (QED). Two qutrits of Cooper‐pair box (CPB) circuits are placed into a cavity field and are driven by individual classical microwaves. In the two‐photon resonance with a large detuning, each CPB is reduced into a qubit effectively. Within a composite system composed of qubit states and cavity photons, two‐qubit state swap and entanglement can be fast obtained using the technique of shortcuts to adiabaticity with counterdiabatic drivings. Benefited from the shorter duration times and less sensitivity to timing errors and parameter imperfections, high‐fidelity quantum operations can be performed with the accessible decoherence rates. The present protocol could offer a feasible route towards optimized operations on superconducting qubits in a circuit QED.

show abstract

Focus on Shortcuts to Adiabaticity

Cited by 72 publications

References 94 publications

Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution

Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution

Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals

Two‐Qubit State Swap and Entanglement Creation in a Superconducting Circuit QED via Counterdiabatic Drivings

Contact Info

Product

Resources

About