Amplification of quadratic Hamiltonians

Abstract

Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.

References in corpus (13)

• Quantum Computing
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• Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
• Fault-Tolerant Quantum Dynamical Decoupling
• Squeezed Optomechanics with Phase-matched Amplification and Dissipation
• Quantum amplification of mechanical oscillator motion
• Enhancing cavity QED via anti-squeezing: synthetic ultra-strong coupling
• Photon-Mediated Quantum Gate between Two Trapped Neutral Atoms in an Optical Cavity
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Cited by in corpus (13)

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• Rapid Quantum Squeezing by Jumping the Harmonic Oscillator Frequency
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Experimental speedup of quantum dynamics through squeezing
• Translating Uncontrolled Systems in Time
• Quantum Optimal Control of Squeezing in Cavity Optomechanics
• Recovery With Incomplete Knowledge: Fundamental Bounds on Real-Time Quantum Memories
• Free to Harmonic Unitary Transformations in Quantum and Koopman Dynamics
• Exploring the limits of the generation of non-classical states of spins coupled to a cavity by optimal control
• Loss tolerant cross-Kerr enhancement via modulated squeezing