Geometric Approach to Digital Quantum Information
| dc.creator | Rigetti, Chad | |
| dc.creator | Mosseri, Remy | |
| dc.creator | Devoret, Michel | |
| dc.date | 2003-12-24 | |
| dc.date | 2004-11-17 | |
| dc.date.accessioned | 2026-07-07T06:08:41Z | |
| dc.date.available | 2026-07-07T06:08:41Z | |
| dc.description | We present geometric methods for uniformly discretizing the continuous N-qubit Hilbert space. When considered as the vertices of a geometrical figure, the resulting states form the equivalent of a Platonic solid. The discretization technique inherently describes a class of pi/2 rotations that connect neighboring states in the set, i.e. that leave the geometrical figures invariant. These rotations are shown to generate the Clifford group, a general group of discrete transformations on N qubits. Discretizing the N-qubit Hilbert space allows us to define its digital quantum information content, and we show that this information content grows as N^2. While we believe the discrete sets are interesting because they allow extra-classical behavior--such as quantum entanglement and quantum parallelism--to be explored while circumventing the continuity of Hilbert space, we also show how they may be a useful tool for problems in traditional quantum computation. We describe in detail the discrete sets for one and two qubits. | |
| dc.description | Introduction rewritten; 'Sample Application' section added. To appear in J. of Quantum Information Processing | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0312196 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0312196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91713 | |
| dc.subject | Quantum Physics | |
| dc.title | Geometric Approach to Digital Quantum Information | |
| dc.type | text |