Deterministic nonlinear gates with oscillators mediated by a qubit
arXiv:1706.09020 · doi:10.1038/s41598-017-11353-3
Abstract
Quantum nonlinear operations for harmonic oscillator systems play a key role in the development of analog quantum simulators and computers. Since a variety of strong highly nonlinear operations are unavailable in the existing physical systems, it is a common practice to approximate them by using conditional measurement-induced methods. The conditional approach has several drawbacks, the most severe of which is the exponentially decreasing success rate of the strong and complex nonlinear operations. We show that by using a suitable two level system sequentially interacting with the oscillator, it is possible to resolve these issues and implement a nonlinear operation both nearly deterministically and nearly perfectly. We explicitly demonstrate the approach by constructing self-Kerr and cross-Kerr couplings in a realistic situation, which require a feasible dispersive coupling between the two-level system and the oscillator.
References in corpus (66)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Cavity Optomechanics
- A computable measure of entanglement
- Quantum information with continuous variables
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Gaussian Quantum Information
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Quantum Simulation
- Review article: Linear optical quantum computing
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Encoding a qubit in an oscillator
- Interfacing single photons and single quantum dots with photonic nanostructures
- Measurement of conditional phase shifts for quantum logic
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Quantum computation over continuous variables
- Cavity-based quantum networks with single atoms and optical photons
- Quantum walks of correlated particles
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Resolving photon number states in a superconducting circuit
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Quantum simulation of the Dirac equation
- Quantum computation with optical coherent states
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- A near deterministic linear optical CNOT gate
- Quantum jumps of light recording the birth and death of a photon in a cavity
- Universal digital quantum simulation with trapped ions
- Real-time quantum feedback prepares and stabilizes photon number states
- Observation of quantum state collapse and revival due to the single-photon Kerr effect
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Progressive field-state collapse and quantum non-demolition photon counting
- A Simple Quantum Computer
- Strong and Tunable Nonlinear Optomechanical Coupling in a Low-Loss System
- Observation of the Vacuum-Rabi Spectrum for One Trapped Atom
- Efficient Quantum Computation using Coherent States
- Quantum information with Gaussian states
- Dispersive optomechanics: a membrane inside a cavity
- The asymptotic entanglement cost of preparing a quantum state
- Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
- Cooling and squeezing via quadratic optomechanical coupling
- Light-matter decoupling in the deep strong coupling regime: The breakdown of the Purcell effect
- A high-efficiency quantum non-demolition single photon number resolving detector
- Quantum Computation by Communication
- Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation
- Universal Control of an Oscillator with Dispersive Coupling to a Qubit
- Engineering quantum operations on traveling light beams by multiple photon addition and subtraction
- Implementation of a quantum cubic gate by adaptive non-Gaussian measurement
- Digital Quantum Rabi and Dicke Models in Superconducting Circuits
- Observation of quantum interference between separated mechanical oscillator wavepackets
- Deterministic implementation of weak quantum cubic nonlinearity
- Ultrastrong coupling in two-resonator circuit QED
- Effects of self-phase modulation on weak nonlinear optical quantum gates
- Exploring a new regime for processing optical qubits: squeezing and unsqueezing single photons
- Multimode optomechanical dynamics in a cavity with avoided crossings
- Generation and characterization of resource state for nonlinear cubic phase gate
- Nonlinear coupling of continuous variables at the single quantum level
- Single-photon quadratic optomechanics
- Wigner Function Evolution of Quantum States in Presence of Self-Kerr Interaction
- How to decompose arbitrary continuous-variable quantum operations
- Quantum Analogue Computing
- Nonlinear quantum optical computing via measurement
- A measurement-induced optical Kerr interaction
- Nonlinear potential of quantum oscillator induced by single photons
- Deterministic nonclassicality for quantum mechanical oscillators in thermal states
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