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Quantum error correction is an essential ingredient in the development of quantum technologies. Its subject is to investigate ways to embed quantum Hilbert spaces into a physical system such that this subspace is robust against small…

Quantum Physics · Physics 2024-12-04 Jonathan Conrad

In the Gaussian-modulated coherent state quantum key distribution (QKD) protocol, the sender first generates Gaussian distributed random numbers and then encodes them on weak laser pulses actively by performing amplitude and phase…

We propose a novel approach to generate, protect and control GKP qubits. It employs a microwave frequency comb parametrically modulating a Josephson circuit to enforce a dissipative dynamics of a high impedance circuit mode, autonomously…

Quantum repeaters constitute a promising platform for enabling long distance quantum communication and may ultimately serve as the backbone of a secure quantum internet, a scalable quantum network, or a distributed quantum computer. An…

Quantum Physics · Physics 2026-04-13 S. Nibedita Swain , Timothy C. Ralph

Preparing encoded logical states is the first step in a fault-tolerant quantum computation. Standard approaches based on concatenation or repeated measurement incur a significant time overhead. The Raussendorf-Bravyi-Harrington cluster…

Quantum Physics · Physics 2025-02-12 Thiago Bergamaschi , Yunchao Liu

Quantum state preparation is an important class of quantum algorithms that is employed as a black-box subroutine in many algorithms, or used by itself to generate arbitrary probability distributions. We present a novel state preparation…

Quantum Physics · Physics 2020-06-02 Yutaro Iiyama

Bosonic encoding of quantum information into harmonic oscillators is a hardware efficient approach to battle noise. In this regard, oscillator-to-oscillator codes not only provide an additional opportunity in bosonic encoding, but also…

Quantum Physics · Physics 2023-11-27 Jing Wu , Anthony J. Brady , Quntao Zhuang

For any local Hamiltonian H, I construct a local CPT map and stopping condition which converges to the ground state subspace of H. Like any ground state preparation algorithm, this algorithm necessarily has exponential run-time in general…

Quantum Physics · Physics 2023-09-25 Toby S. Cubitt

We propose a scheme to generate Greenberger-Horne-Zeilinger (GHZ) state for N superconducting qubits in a circuit QED system. By sinusoidally modulating the qubit-qubit coupling, a synthetic magnetic field has been made which broken the…

Quantum Physics · Physics 2017-04-10 Wei Feng , Da-Wei Wang , Han Cai , Shi-Yao Zhu

The choice between the Schroedinger and Heisenberg pictures can significantly impact the computational resources needed to solve a problem, even though they are equivalent formulations of quantum mechanics. Here we present a method for…

Quantum Physics · Physics 2024-11-11 Timothy C Ralph , Matthew Winnel , S Nibedita Swain , Ryan J Marshman

An outstanding challenge for quantum information processing using bosonic systems is Gaussian errors such as excitation loss and added thermal noise errors. Thus, bosonic quantum error correction (QEC) is essential. Most bosonic QEC schemes…

Quantum Physics · Physics 2020-08-26 Kyungjoo Noh , S. M. Girvin , Liang Jiang

Quantum technologies, encompassing communication, computation, and metrology, rely on the generation and control of non-Gaussian states of light. These states enable secure quantum communication, fault-tolerant quantum computation, and…

Quantum Physics · Physics 2025-12-03 Ozlem Erkilic , Aritra Das , Biveen Shajilal , Ping Koy Lam , Timothy C. Ralph , Syed M. Assad

I introduce an energy constrained approximate twirling operation that can be used to diagonalize effective logical channels in GKP quantum error correction, project states into the GKP code space and construct a dynamical decoupling…

Quantum Physics · Physics 2021-02-10 Jonathan Conrad

Fault-tolerant quantum error correction is essential for implementing quantum algorithms of significant practical importance. In this work, we propose a highly effective use of the surface-GKP code, i.e., the surface code consisting of…

Quantum Physics · Physics 2022-02-01 Kyungjoo Noh , Christopher Chamberland , Fernando G. S. L. Brandão

Bosonic quantum error correction codes encode logical qubits in the Hilbert space of one or multiple harmonic oscillators. A prominent class of bosonic codes is that of Gottesman-Kitaev-Preskill (GKP) codes of which implementations have…

Quantum Physics · Physics 2025-02-28 Leon H. Bohnmann , David F. Locher , Johannes Zeiher , Markus Müller

We present an architecture for the generation of GKP states in which quadrature squeezing operations are used to control the average photon number statistics of probabilistic photon number measurements on Gaussian resource states.…

Quantum Physics · Physics 2025-12-03 Paul Renault , Patrick Yard , Raphael Pooser , Hussain Zaidi

Gottesman-Kitaev-Preskill (GKP) codes are a promising candidate for implementing fault tolerant quantum computation in quantum harmonic oscillator systems such as superconducting resonators, optical photons and trapped ions, and in recent…

Quantum Physics · Physics 2024-07-11 Jonathan Conrad , Ansgar G. Burchards , Steven T. Flammia

We demonstrate squeezing of a strongly interacting opto-electromechanical system using a parametric drive. By employing real-time feedback on the phase of the pump at twice the resonance frequency the thermo-mechanical noise is squeezed…

Optics · Physics 2014-12-09 Menno Poot , King Y. Fong , Hong X. Tang

Gaussian states hold a fundamental place in quantum mechanics, quantum information, and quantum computing. Many subfields, including quantum simulation of continuous-variable systems, quantum chemistry, and quantum machine learning, rely on…

Quantum Physics · Physics 2026-05-13 Yichen Xie , Nadav Ben-Ami

Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

Strongly Correlated Electrons · Physics 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura