Qudit Quantum Computation in the Jaynes-Cummings Model
arXiv:1210.4488 · doi:10.1103/PhysRevA.87.022341
Abstract
We have developed methods for performing qudit quantum computation in the Jaynes-Cummings model with the qudits residing in a finite subspace of individual harmonic oscillator modes, resonantly coupled to a spin-1/2 system. The first method determines analytical control sequences for the one- and two-qudit gates necessary for universal quantum computation by breaking down the desired unitary transformations into a series of state preparations implemented with the Law-Eberly scheme. The second method replaces some of the analytical pulse sequences with more rapid numerically optimized sequences. In our third approach, we directly optimize the evolution of the system, without making use of any analytic techniques. While limited to smaller dimensional qudits, the third approach finds pulse sequences which carry out the desired gates in a time which is much shorter than either of the other two approaches.
References in corpus (30)
- Quantum information with Rydberg atoms
- Quantum Nonlocality without Entanglement
- Quantum computation with ions in thermal motion
- Synthesis of Quantum Logic Circuits
- Fidelity of quantum operations
- Implementing the Quantum von Neumann Architecture with Superconducting Circuits
- High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
- Closing the detection loophole in Bell experiments using qudits
- Deterministic entanglement of photons in two superconducting microwave resonators
- Quantum computing with collective ensembles of multi-level systems
- Asymptotically Optimal Quantum Circuits for d-level Systems
- Quantum Control of the Hyperfine Spin of a Cs Atom Ensemble
- Universal simulation of Hamiltonian dynamics for qudits
- Optimal control methods for fast time-varying Hamiltonians
- Experimental quantum tomography of photonic qudits via mutually unbiased basis
- Arbitrary Control of Entanglement between Two Superconducting Resonators
- Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes
- Criteria for Exact Qudit Universality
- Universal quantum computation with two-level trapped ions
- Conditional large Fock state preparation and field state reconstruction in Cavity QED
- Generation and detection of NOON states in superconducting circuits
- Experimental demonstration of a technique to generate arbitrary quantum superposition states
- Control of trapped-ion quantum states with optical pulses
- All-Resonant Control of Superconducting Resonators
- Quantum logic gates for superconducting resonator qudits
- Quantum control of the hyperfine-coupled electron and nuclear spins in alkali atoms
- Control of inhomogeneous atomic ensembles of hyperfine qudits
- Controllability of the coupled spin-half harmonic oscillator system
- Entangled State Synthesis for Superconducting Resonators
- Linear-optics realization of channels for single-photon multimode qudits
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- Qudits and high-dimensional quantum computing
- Universal Control of an Oscillator with Dispersive Coupling to a Qubit
- Quantum control of bosonic modes with superconducting circuits
- Practical trapped-ion protocols for universal qudit-based quantum computing
- Cat codes with optimal decoherence suppression for a lossy bosonic channel
- Measurement-based adaptation protocol with quantum reinforcement learning
- Arbitrary quantum-state preparation of a harmonic oscillator via optimal control
- Stochastic Estimation of Dynamical Variables
- Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
- Survey on the Bell nonlocality of a pair of entangled qudits
- Generation of Photonic Matrix Product States with Rydberg Atomic Arrays
- Quantum State Synthesis of Superconducting Resonators
- A hybrid-qudit representation of digital RGB images
- Protecting qudit operations from noise by continuous dynamical decoupling
- Hybrid quantum computing with ancillas
- Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models
- What can we learn from the dynamics of entanglement and quantum discord in the Tavis-Cummings model?
- Analytic approach to dynamics of the resonant and off-resonant Jaynes-Cummings systems with cavity losses
- Toward Mixed Analog-Digital Quantum Signal Processing: Quantum AD/DA Conversion and the Fourier Transform
- Single-shot Quantum Signal Processing Interferometry
- Higher-Dimensional Bell Inequalities with Noisy Qudits
- Noise-adapted qudit codes for amplitude-damping noise
- Quantum computation mediated by ancillary qudits and spin coherent states
- Optimal Phonon-to-Spin Mapping in a system of a trapped ion
- Time-dependent Rabi frequencies to protect quantum operations on an atomic qutrit by continuous dynamical decoupling
- Tripartite multiphoton Jaynes-Cummings model: Analytical solution and Wigner nonclassicalities
- Qudit encoding in Rydberg blockaded arrays of atoms
- Constructing Qudits from Infinite Dimensional Oscillators by Coupling to Qubits