|
| related topics |
| {measurement, state, measurements} |
| {time, systems, information} |
| {qubit, qubits, gate} |
| {observables, space, algebra} |
| {algorithm, log, probability} |
| {state, algorithm, problem} |
| {cos, sin, state} |
| {bell, inequality, local} |
| {entanglement, phys, rev} |
| {time, decoherence, evolution} |
|
A Quantum Logic Gate Representation of Quantum Measurement: Reversing
and Unifying the Two Steps of von Neumann's Model
Giuseppe Castagnoli
abstract: In former work, quantum computation has been shown to be a problem solving
process essentially affected by both the reversible dynamics leading to the
state before measurement, and the logical-mathematical constraints introduced
by quantum measurement (in particular, the constraint that there is only one
measurement outcome). This dual influence, originated by independent initial
and final conditions, justifies the quantum computation speed-up and is not
representable inside dynamics, namely as a one-way propagation. In this work,
we reformulate von Neumann's model of quantum measurement at the light of above
findings. We embed it in a broader representation based on the quantum logic
gate formalism and capable of describing the interplay between dynamical and
non-dynamical constraints. The two steps of the original model, namely (1)
dynamically reaching a complete entanglement between pointer and quantum object
and (2) enforcing the one-outcome-constraint, are unified and reversed. By
representing step (2) right from the start, the same dynamics of step (1)
yields a probability distribution of mutually exclusive measurement outcomes.
This appears to be a more accurate and complete representation of quantum
measurement. PACS: 03.67.-a, 03.67.Lx, 03.65.Bz
- oai_identifier:
- oai:arXiv.org:quant-ph/9912020
- categories:
- quant-ph
- comments:
- 17 pages, RevTex, 1 PostScript file with figure, submitted to Int. J.
Theor. Phys
- arxiv_id:
- quant-ph/9912020
- created:
- 1999-12-06
Full article ▸
|
|
| related documents |
| 0112154v1 |
| 0008108v2 |
| 0510047v2 |
| 0203035v1 |
| 0503017v4 |
| 9607023v1 |
| 0601162v1 |
| 0501058v1 |
| 0006089v1 |
| 0003067v1 |
| 0205010v1 |
| 0207121v1 |
| 0011125v1 |
| 0309025v2 |
| 0007092v1 |
| 0403123v1 |
| 0306192v3 |
| 0409086v2 |
| 0608113v3 |
| 0010081v1 |
| 0701200v3 |
| 0102134v1 |
| 0512037v2 |
| 0703124v2 |
| 0406027v1 |
|