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Ralph, T C

Publications and source records attributed to Ralph, T C.

Space-time qubits

We construct a qubit algebra from field creation and annihilation operators acting on a global vacuum state. Particles to be used as qubits are created from the vacuum by a near-deterministic single-particle source. Our formulation makes the space-time dependence of the qubits explicit, preparing the way for quantum computation within a field framework. The method can be generalized to deal with interacting qubits whose wave packets are not perfectly matched to each other. We give an example of how to calculate the Heisenberg evolution of a simple two-qubit circuit, taking expectation values in the field vacuum state.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Quantum error correction of continuous-variable states against Gaussian noise

We describe a continuous-variable error correction protocol that can correct the Gaussian noise induced by linear loss on Gaussian states. The protocol can be implemented using linear optics and photon counting. We explore the theoretical bounds of the protocol as well as the expected performance given current knowledge and technology.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗