# Holonomic Quantum Control with Continuous Variable Systems.

@article{Albert2016HolonomicQC, title={Holonomic Quantum Control with Continuous Variable Systems.}, author={Victor V. Albert and Chi-Kou Shu and Stefan Krastanov and Chao Shen and Ren-Bao Liu and Zhen-Biao Yang and Robert J. Schoelkopf and Mazyar Mirrahimi and Michel H. Devoret and Liang Jiang}, journal={Physical review letters}, year={2016}, volume={116 14}, pages={ 140502 } }

Universal computation of a quantum system consisting of superpositions of well-separated coherent states of multiple harmonic oscillators can be achieved by three families of adiabatic holonomic gates. The first gate consists of moving a coherent state around a closed path in phase space, resulting in a relative Berry phase between that state and the other states. The second gate consists of "colliding" two coherent states of the same oscillator, resulting in coherent population transfer…

## 64 Citations

Quantum teleportation of qudits by means of generalized quasi-Bell states of light

- PhysicsOptics Communications
- 2019

Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries

- PhysicsPhysical Review A
- 2018

The physical implementation of holonomic quantum computation is challenging due to the needed complex controllable interactions in multilevel quantum systems. Here we propose to implement…

Implementing universal nonadiabatic holonomic quantum gates with transmons

- Physics
- 2018

Geometric phases are well known to be noise-resilient in quantum evolutions/operations. Holonomic quantum gates provide us with a robust way towards universal quantum computation, as these quantum…

Chaos in coupled Kerr-nonlinear parametric oscillators

- PhysicsPhysical Review Research
- 2021

A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution, and can be used as a…

Hybrid Systems for the Generation of Nonclassical Mechanical States via Quadratic Interactions.

- PhysicsPhysical review letters
- 2018

It is demonstrated that the implementation of a two-phonon Jaynes-Cummings Hamiltonian under coherent driving of the qubit yields a dissipative phase transition with similarities to the one predicted in the model of the degenerate parametric oscillator.

Single-Loop Realization of Arbitrary Nonadiabatic Holonomic Single-Qubit Quantum Gates in a Superconducting Circuit.

- PhysicsPhysical review letters
- 2018

In principle, a nontrivial two-qubit holonomic gate between the qubit and the cavity can also be realized based on the presented experimental scheme, which paves the way towards practical nonadiabatic holonomic quantum manipulation with both qubits and cavities in a superconducting circuit.

Entanglement of two-mode Schrödinger cats

- PhysicsPhotonics Europe
- 2018

Quantum superpositions of coherent states are produced both in microwave and optical domains, and are considered realizations of the famous “Schroedinger cat” state. The recent progress shows an…

Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace

- PhysicsPhysical Review Applied
- 2019

High-fidelity quantum gates are essential for large-scale quantum computation, which can naturally be realized in a noise-resilient way. Geometric manipulation and decoherence-free subspace encoding…

Nonadiabatic holonomic quantum computation with dressed-state qubits

- Physics
- 2017

Implementing holonomic quantum computation is a challenging task as it requires complicated interaction among multilevel systems. Here we propose to implement nonadiabatic holonomic quantum…

Multimode cat codes

- Physics
- 2018

We introduce a driven-dissipative two-mode bosonic system whose reservoir causes simultaneous loss of two photons in each mode and whose steady states are superpositions of…

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