Optimal STIRAP shortcuts using the spin-to-spring mapping

Evangelakos, Vasileios; Paspalakis, Emmanuel; Stefanatos, Dionisis

doi:10.1103/physreva.107.052606

Cited by 10 publications

(4 citation statements)

References 60 publications

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“…For general closed two-level systems with two or three drives, quantum speed limit was established in [15,16], where it was found that optimal protocol consists of two δ-like pulses and a period in between. Impulses at the beginning and the end of the optimal pulse-sequence leading to instantaneous rotations of the Bloch vector were also found in the problem of population transfer in a three-level open quantum system reformulated as an optimal control problem on the Bloch ball with unbounded control [17,18]. Time-optimal protocol for driving a general initial state to a target state by a single control field with bounded amplitude was established in [19].…”

Section: Introductionmentioning

confidence: 96%

Time-optimal state transfer for an open qubit

Lokutsievskiy,

Pechen,

Zelikin

2024

J. Phys. A: Math. Theor.

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Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is a key problem of quantum control. In this work, this problem is solved for a basic component of various quantum technology processes—a qubit interacting with the environment and experiencing an arbitrary time-dependent coherent driving. We rigorously derive both upper and lower estimates for the minimal steering time. Surprisingly, we discover that the optimal controls have a very special form—they consist of two impulses, at the beginning and at the end of the control period, which can be assisted by a smooth time-dependent control in between. Moreover, an important for practical applications explicit almost optimal state transfer protocol is provided which only consists of four impulses and gives an almost optimal time of motion. The results can be directly applied to a variety of experimental situations for estimation of the ultimate limits of state control for quantum technologies.

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Section: Introductionmentioning

confidence: 96%

Time-optimal state transfer for an open qubit

Lokutsievskiy,

Pechen,

Zelikin

2024

J. Phys. A: Math. Theor.

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“…In recent years, there is a growing field of research in utilizing high-dimensional quantum systems for quantum information processing [1][2][3][4][5]. Among them, the three-level system has become a representative and popular candidate for encoding qubit [6][7][8][9][10][11][12][13][14], since temporarily using a third state [15][16][17] can reduce the number of physical entities [18] and improve the fidelity of quantum computations [19][20][21][22][23]. This system allows quantum information to be encoded into two low-energy levels, with the transition being indirectly realized through a high-energy one.…”

Section: Introductionmentioning

confidence: 99%

High-fidelity quantum gates via optimizing short pulse sequences in three-level systems

Zhang,

Liu,

Song

et al. 2024

New J. Phys.

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We propose a robust and high-fidelity scheme for realizing universal quantum gates by optimizing short pulse sequences in a three-level system. To alleviate the sensitivity to the errors, we recombine all elements of error matrices to construct a cost function with three types of weight factors. The modulation parameters are obtained by searching for the minimum value of this cost function. The purposes of introducing the weight factors are to reduce the detrimental impact of high-order error matrices, suppress population leakage to the third state, correct the operational error in the qubit space, and optimize the total pulse area of short pulse sequences. The results demonstrate that the optimized sequences exhibit strong robustness against errors and effectively reduce the total pulse area. Therefore, this work presents a valuable method for achieving exceptional robustness and high speed in quantum computations.

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“…The STIRAP technique is still extensively investigated [13][14][15][16][17][18] and has been exploited in different physical contexts ranging from cold gases [19][20][21] to condensed matter [22][23][24][25][26][27][28], plasmonic systems [29,30], superconducting devices [31][32][33], trapped ions [34,35] and optomechanical systems [36]. Recently, in order to improve the original technique by shortening the population transfer process, modifications to the original scheme including shortcuts to adiabaticity have been proposed [37][38][39][40][41][42]. However, in this case, a more complicated apparatus is required, which constitutes a disadvantage with respect to the original scheme.…”

Section: Introductionmentioning

confidence: 99%

Adiabatically Manipulated Systems Interacting with Spin Baths beyond the Rotating Wave Approximation

Militello,

Napoli

2024

Physics

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The Stimulated Raman Adiabatic Passage (STIRAP) on a three-state system interacting with a spin bath is considered, focusing on the efficiency of the population transfer. Our analysis is based on the perturbation treatment of the interaction term evaluated beyond the Rotating Wave Approximation, thus focusing on the limit of weak system–bath coupling. The analytical expression of the correction to the efficiency and the consequent numerical analysis show that, in most of the cases, the effects of the environment are negligible, confirming the robustness of the population transfer.

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Optimal STIRAP shortcuts using the spin-to-spring mapping

Cited by 10 publications

References 60 publications

Time-optimal state transfer for an open qubit

Time-optimal state transfer for an open qubit

High-fidelity quantum gates via optimizing short pulse sequences in three-level systems

Adiabatically Manipulated Systems Interacting with Spin Baths beyond the Rotating Wave Approximation

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