Lorentz Quantum Computer
arXiv:2103.10315 · doi:10.1088/1674-1056/acad6a
Abstract
A theoretical model of computation is proposed based on Lorentz quantum mechanics. Besides the standard qubits, this model has an additional bit, which we call hyperbolic bit (or hybit in short). A set of basic logical gates are constructed and their universality is proved. As an application, a search algorithm is designed for this computer model and is found to be exponentially faster than the Grover's search algorithm.
References in corpus (6)
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- How Powerful is Adiabatic Quantum Computation?
- Can closed timelike curves or nonlinear quantum mechanics improve quantum state discrimination or help solve hard problems?
- Directed percolation and numerical stability of simulations of digital memcomputing machines
- Quantum Algorithm for Approximating Maximum Independent Sets
- Resonant Quantum Search with Monitor Qubits