Arbitrary qudit gates by adiabatic passage

Rousseaux, Benjamin; Guérin, S.; Vitanov, Nikolay V.

doi:10.1103/physreva.87.032328

Cited by 62 publications

(32 citation statements)

References 40 publications

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“…49 (right) where the population is seen to oscillate vs the phase φ between the qubit states M = −3/2 and +1/2, with only negligible population in the other two states. Rousseaux et al (2013) extended these ideas to an Npod -a fan linkage of N lower states |k coupled to a single excited state |e . They showed that a double-STIRAP sequence, as the one in Fig.…”

Section: B Geometric Gatesmentioning

confidence: 99%

Stimulated Raman adiabatic passage in physics, chemistry, and beyond

Vitanov¹,

Rangelov²,

Shore³

et al. 2017

Rev. Mod. Phys.

743

717

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The technique of stimulated Raman adiabatic passage (STIRAP), which allows efficient and selective population transfer between quantum states without suffering loss due to spontaneous emission, was introduced in 1990 (Gaubatz et al., J. Chem. Phys. 92, 5363, 1990). Since then STIRAP has emerged as an enabling methodology with widespread successful applications in many fields of physics, chemistry and beyond. This article reviews the many applications of STIRAP emphasizing the developments since 2000, the time when the last major review on the topic was written (Vitanov et al., Adv. At. Mol. Opt. Phys. 46, 55, 2001). A brief introduction into the theory of STIRAP and the early applications for population transfer within three-level systems is followed by the discussion of several extensions to multilevel systems, including multistate chains and tripod systems. The main emphasis is on the wide range of applications in atomic and molecular physics (including atom optics, cavity quantum electrodynamics, formation of ultracold molecules, etc.), quantum information (including single-and two-qubit gates, entangled-state preparation, etc.), solid-state physics (including processes in doped crystals, nitrogen-vacancy centers, superconducting circuits, semiconductor quantum dots and wells), and even some applications in classical physics (including waveguide optics, polarization optics, frequency conversion, etc.). Promising new prospects for STIRAP are also presented (including processes in optomechanics, precision experiments, detection of parity violation in molecules, spectroscopy of core-nonpenetrating Rydberg states, population transfer with X-ray pulses, etc.).

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Section: B Geometric Gatesmentioning

confidence: 99%

Stimulated Raman adiabatic passage in physics, chemistry, and beyond

Vitanov¹,

Rangelov²,

Shore³

et al. 2017

Rev. Mod. Phys.

743

717

View full text Add to dashboard Cite

show abstract

“…Specifically, for a bit-flip gate the main dissipation is the spontaneous emission from the excited state |1 . Consequently, the dynamics of the dissipative system can be described by the following master equation (2σ − ρσ + − σ + σ − ρ − ρσ + σ − ), (25) with 10 the spontaneous emission of the state |1 . Using the same parameters in Fig.…”

Section: Robustness Of the Generated Scrap-based Qubit Gatesmentioning

confidence: 99%

“…Fortunately, this problem can be solved, at least in principle, by using the adiabatic passage technique to deterministically passage the desired populations of the selected qubit(s). This is because that, this technique is insensitive to the details of the applied pulses and also the environmental fluctuations, as long as the evolutions of the operated system are adiabatic [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Deterministic implementations of quantum gates with circuit QEDs via Stark-chirped rapid adiabatic passages

Chen

Wei

2015

Physics Letters A

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“…By designing nonadiabatic unitary evolution, a lot of protocols have been proposed for realizing the nonadiabatic holonomic quantum computation, which have shown good robustness against decoherence. Moreover, many novel methods and techniques for precisely designing and controlling the dynamics of system, such as shortcuts to adiabaticity, optimal control theory, inverse Hamiltonian engineering, and their combinations, have been exploited in obtaining holonomy, which make the performance of the quantum gates further improved. For example, Liu et al .…”

Section: Introductionmentioning

confidence: 99%

One‐Step Implementation of N‐Qubit Nonadiabatic Holonomic Quantum Gates with Superconducting Qubits via Inverse Hamiltonian Engineering

et al. 2019

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A protocol is proposed to realize one-step implementation of the N-qubit nonadiabatic holonomic quantum gates with superconducting qubits. The inverse Hamiltonian engineering is applied in designing microwave pulses to drive superconducting qubits. By combining curve fitting, the wave shapes of the designed pulses can be described by simple functions, which are not hard to realize in experiments. To demonstrate the effectiveness of the protocol, a three-qubit holonomic controlled π -phase gate is taken as an example in numerical simulations. The results show that the protocol holds robustness against noise and decoherence. Therefore, the protocol may provide an alternative approach for implementing N-qubit nonadiabatic holonomic quantum gates.The devices for implementing N-qubit nonadiabatic holonomic quantum gates are shown in Figure 1a. As shown in Figure 1a, the devices are composed of N + 2 superconducting qubits (0, 1, 2, . . . , N − 1, N A , N B ) and N + 1 1D coplanar waveguide resonators (CPWR 0 , CPWR 1 , CPWR 2 , . . . ,CPWR N ). The level configuration of superconducting qubit 0 is shown in

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Arbitrary qudit gates by adiabatic passage

Cited by 62 publications

References 40 publications

Stimulated Raman adiabatic passage in physics, chemistry, and beyond

Stimulated Raman adiabatic passage in physics, chemistry, and beyond

Deterministic implementations of quantum gates with circuit QEDs via Stark-chirped rapid adiabatic passages

One‐Step Implementation of N‐Qubit Nonadiabatic Holonomic Quantum Gates with Superconducting Qubits via Inverse Hamiltonian Engineering

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