Decoherence-free dynamical and geometrical entangling phase gates

Pachos, Jiannis K.; Beige, Almut

doi:10.1103/physreva.69.033817

Cited by 38 publications

(10 citation statements)

References 48 publications

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“…The method avoids both spontaneous emission, because of STIRAP, and cavity loss because no photon is present in the cavity at any time. A modified version of this method (Pachos and Beige, 2004) creates a two-qubit phase gate, with either dynamical or geometric phase, by using a common laser addressing of the two qubits in a single step. Goto and Ichimura (2004) proposed STIRAP-inspired implementations of one-, two-and three-qubit phase gates of atoms in a single-mode optical cavity.…”

Section: Entangled Statesmentioning

confidence: 99%

Stimulated Raman adiabatic passage in physics, chemistry, and beyond

Vitanov¹,

Rangelov²,

Shore³

et al. 2017

Rev. Mod. Phys.

772

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: Entangled Statesmentioning

confidence: 99%

Stimulated Raman adiabatic passage in physics, chemistry, and beyond

Vitanov¹,

Rangelov²,

Shore³

et al. 2017

Rev. Mod. Phys.

772

717

View full text Add to dashboard Cite

show abstract

“…Many efforts have been devoted to combining the fault tolerance of HQC and the quantum coherence stabilization virtues of DFSs [24][25][26][27]. In 2005, Wu et al [26] implemented HQC in DFSs which was robust against some stochastic errors and collective dephasing.…”

Section: Introductionmentioning

confidence: 99%

Multi-qubit non-adiabatic holonomic controlled quantum gates in decoherence-free subspaces

Cui

Guo

et al. 2016

Quantum Inf Process

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Non-adiabatic holonomic quantum gate in decoherence-free subspaces is of greatly practical importance due to its built-in fault tolerance, coherence stabilization virtues, and short run-time. Here, we propose some compact schemes to implement two-and three-qubit controlled unitary quantum gates and Fredkin gate. For the controlled unitary quantum gates, the unitary operator acting on the target qubit is an arbitrary single-qubit gate operation. The controlled quantum gates can be directly implemented by utilizing non-adiabatic holonomy in decoherence-free subspaces and the required resource for the decoherence-free subspace encoding is minimal by using only two neighboring physical qubits undergoing collective dephasing to encode a logical qubit.

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“…As is well known, the basic building blocks of a quantum computer are quantum logic gates, and some of them can be obtained by the geometric phase [11][12][13][14][15][16][17][18]. There are two kinds of geometric phase gates: the conventional geometric gates [11][12][13][14] and the unconventional geometric gates [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…There are two kinds of geometric phase gates: the conventional geometric gates [11][12][13][14] and the unconventional geometric gates [15][16][17][18]. In comparison with conventional geometric gates, unconventional geometric gates do not require additional operations to cancel the dynamical phases and thus simplify the experimental operations.…”

Section: Introductionmentioning

confidence: 99%

Unconventional geometric phase gates using two cyclic three-level artificial atoms in a cavity

Xia

Xie

et al. 2010

SPIE Proceedings

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Using two cyclic three-level artificial atoms, we propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift in a cavity. In this scheme, the excited states of the two artificial atoms are adiabatically eliminated, and the logical gates' operation only involves their metastable states. Moreover, under certain conditions, the artificial atoms are disentangled with the cavity mode. Thus the gate is insensitive to both the cavity decay and the spontaneous emission of the artificial atoms.

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Decoherence-free dynamical and geometrical entangling phase gates

Cited by 38 publications

References 48 publications

Stimulated Raman adiabatic passage in physics, chemistry, and beyond

Stimulated Raman adiabatic passage in physics, chemistry, and beyond

Multi-qubit non-adiabatic holonomic controlled quantum gates in decoherence-free subspaces

Unconventional geometric phase gates using two cyclic three-level artificial atoms in a cavity

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