Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences

Abstract

Hosting non-classical states of light in three-dimensional microwave cavities has emerged as a promising paradigm for continuous-variable quantum information processing. Here we experimentally demonstrate high-fidelity generation of a range of Wigner-negative states useful for quantum computation, such as Schrödinger-cat states, binomial states, Gottesman-Kitaev-Preskill (GKP) states, as well as cubic phase states. The latter states have been long sought after in quantum optics and were never achieved experimentally before. To do so, we use a sequence of interleaved selective number-dependent arbitrary phase (SNAP) gates and displacements. We optimize the state preparation in two steps. First we use a gradient-descent algorithm to optimize the parameters of the SNAP and displacement gates. Then we optimize the envelope of the pulses implementing the SNAP gates. Our results show that this way of creating highly non-classical states in a harmonic oscillator is robust to fluctuations of the system parameters such as the qubit frequency and the dispersive shift.

References in corpus (38)

• Array Programming with NumPy
• Charge insensitive qubit design derived from the Cooper pair box
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• Encoding a qubit in an oscillator
• Quantum computation over continuous variables
• Positive Wigner functions render classical simulation of quantum computation efficient
• Quantum error correction of a qubit encoded in grid states of an oscillator
• Quantum control of surface acoustic wave phonons
• New class of quantum error-correcting codes for a bosonic mode
• Encoding a qubit in a trapped-ion mechanical oscillator
• Negative Quasi-Probability as a Resource for Quantum Computation
• A quantum memory with near-millisecond coherence in circuit QED
• Decoherence benchmarking of superconducting qubits
• Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
• Performance and structure of single-mode bosonic codes
• Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
• Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
• Exponential suppression of bit-flips in a qubit encoded in an oscillator
• Cavity State Manipulation Using Photon-Number Selective Phase Gates
• Universal Control of an Oscillator with Dispersive Coupling to a Qubit
• All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code
• Quantum computing with rotation-symmetric bosonic codes
• Protecting a Bosonic Qubit with Autonomous Quantum Error Correction
• Quantum information processing with bosonic qubits in circuit QED
• Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
• Implementation of a quantum cubic gate by adaptive non-Gaussian measurement
• Quantum control of bosonic modes with superconducting circuits
• Parity measurement in the strong dispersive regime of circuit quantum acoustodynamics
• Error-corrected gates on an encoded qubit
• Universal Gate Set for Continuous-Variable Quantum Computation with Microwave Circuits
• Generation and characterization of resource state for nonlinear cubic phase gate
• Engineering a Kerr-based Deterministic Cubic Phase Gate via Gaussian Operations
• High Quality 3-Dimensional Aluminum Microwave Cavities
• Path-Independent Quantum Gates with Noisy Ancilla
• Non-Clifford gate on optical qubits by nonlinear feedforward
• Teleportation with a cubic phase gate
• Sideband control of a multimode quantum bulk acoustic system

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• Error Correction Using Squeezed Fock States
• Optimal entanglement generation in optomechanical systems via Krotov control of covariance matrix dynamics
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• Teleportation protocols with non-Gaussian operations: conditional photon subtraction versus cubic phase gate
• Gaussian conversion protocol for heralded generation of qunaught states
• Neural Network-Based Design of Approximate Gottesman-Kitaev-Preskill Code
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• Digital homodyne and heterodyne detection for stationary bosonic modes
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• Experimental realization of deterministic and selective photon addition in a bosonic mode assisted by an ancillary qubit
• Bosonic Pauli+: Efficient Simulation of Concatenated Gottesman-Kitaev-Preskill Codes
• Quantum non-Gaussian high Fock states of light pulses and their superpositions
• Evolution of coherent waves driving a single artificial atom
• Measurement and control of a superconducting quantum processor with a fully-integrated radio-frequency system on a chip
• Engineering Non-Gaussian Bosonic Gates through Quantum Signal Processing
• Floquet-engineered fast SNAP gates in weakly coupled circuit-QED systems
• Error-mitigated Geometric Quantum Control over an Oscillator
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• Strongly driven cavity quantum electrodynamical-optomechanical hybrid system
• Unitary-transformed projective squeezing: applications for circuit-knitting and state-preparation of non-Gaussian states
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