Quantum Computing Spacetime
| dc.creator | Zizzi, P. A. | |
| dc.date | 2002-04-02 | |
| dc.date.accessioned | 2026-07-07T03:26:46Z | |
| dc.date.available | 2026-07-07T03:26:46Z | |
| dc.description | A causal set C can describe a discrete spacetime, but this discrete spacetime is not quantum, because C is endowed with Boolean logic, as it does not allow cycles. In a quasi-ordered set Q, cycles are allowed. In this paper, we consider a subset QC of a quasi-ordered set Q, whose elements are all the cycles. In QC, which is endowed with quantum logic, each cycle of maximal outdegree N in a node, is associated with N entangled qubits. Then QC describes a quantum computing spacetime. This structure, which is non-local and non-casual, can be understood as a proto-spacetime. Micro-causality and locality can be restored in the subset U of Q whose elements are unentangled qubits which we interpret as the states of quantum spacetime. The mapping of quantum spacetime into proto-spacetime is given by the action of the XOR gate. Moreover, a mapping is possible from the Boolean causal set into U by the action of the Hadamard gate. In particular, the causal order defined on the elements of U induces the causal evolution of spin networks. | |
| dc.description | 12 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0204007 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0204007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34179 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum Computing Spacetime | |
| dc.type | text |