Universal Control in Bosonic Systems with Weak Kerr Nonlinearities
arXiv:2312.15783 · doi:10.1103/PhysRevA.111.032606
Abstract
Resonators with weak single-photon self-Kerr nonlinearities can theoretically be used to prepare Fock states in the presence of a loss much larger than their nonlinearities. Two necessary ingredients are large displacements and a two-photon (parametric) drive. Here, we find that these systems can be controlled to achieve any desired gate operation in a finite dimensional subspace (whose dimensionality can be chosen at will). Moreover, we show that the two-photon driving requirement can be relaxed and that full controllability is achievable with only 1-photon (linear) drives. We make use of both Trotter-Suzuki decompositions and gradient-based optimization to find control pulses for a desired gate, which reduces the computational overhead by using a small blockaded subspace. We also discuss the infidelity arising from input power limitations in realistic settings, as well as from corrections to the rotating-wave approximation. Our universal control protocol opens the possibility for quantum information processing using a wide range of lossy systems with weak nonlinearities.
arXiv comment7 pages of main text with 3 figures. 15 pages of supplemental material with 4 figures
References in corpus (22)
- Review article: Linear optical quantum computing
- Quantum computation over continuous variables
- Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
- Complete controllability of quantum systems
- Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
- Fast Universal Control of an Oscillator with Weak Dispersive Coupling to a Qubit
- Universal Control of an Oscillator with Dispersive Coupling to a Qubit
- Dynamics of simultaneously measured non-commuting observables
- Quantum information processing with bosonic qubits in circuit QED
- Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability
- Spontaneous four-wave mixing in lossy microring resonators
- Signal-to-pump back-action and self-oscillation in Double-Pump Josephson Parametric Amplifier
- A near-ideal degenerate parametric amplifier
- Scalable squeezed light source for continuous variable quantum sampling
- Universal control of a bosonic mode via drive-activated native cubic interactions
- Generation of optical Gottesman-Kitaev-Preskill states with cavity QED
- Creation of Optical Cat and GKP States Using Shaped Free Electrons
- Millimeter-Wave Four-Wave Mixing via Kinetic Inductance for Quantum Devices
- Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies
- An integrated source of broadband quadrature squeezed light
- Conditional not displacement: fast multi-oscillator control with a single qubit
- Speed limits for two-qubit gates with weakly anharmonic qubits