dorsal/arxiv
View SchemaA Quantum Logic Gate Representation of Quantum Measurement: Reversing and Unifying the Two Steps of von Neumann's Model
| Authors | Giuseppe Castagnoli |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912020 |
| URL | https://arxiv.org/abs/quant-ph/9912020 |
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
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"abstract": "In former work, quantum computation has been shown to be a problem solving\nprocess essentially affected by both the reversible dynamics leading to the\nstate before measurement, and the logical-mathematical constraints introduced\nby quantum measurement (in particular, the constraint that there is only one\nmeasurement outcome). This dual influence, originated by independent initial\nand final conditions, justifies the quantum computation speed-up and is not\nrepresentable inside dynamics, namely as a one-way propagation. In this work,\nwe reformulate von Neumann\u0027s model of quantum measurement at the light of above\nfindings. We embed it in a broader representation based on the quantum logic\ngate formalism and capable of describing the interplay between dynamical and\nnon-dynamical constraints. The two steps of the original model, namely (1)\ndynamically reaching a complete entanglement between pointer and quantum object\nand (2) enforcing the one-outcome-constraint, are unified and reversed. By\nrepresenting step (2) right from the start, the same dynamics of step (1)\nyields a probability distribution of mutually exclusive measurement outcomes.\nThis appears to be a more accurate and complete representation of quantum\nmeasurement. PACS: 03.67.-a, 03.67.Lx, 03.65.Bz",
"arxiv_id": "quant-ph/9912020",
"authors": [
"Giuseppe Castagnoli"
],
"categories": [
"quant-ph"
],
"title": "A Quantum Logic Gate Representation of Quantum Measurement: Reversing and Unifying the Two Steps of von Neumann\u0027s Model",
"url": "https://arxiv.org/abs/quant-ph/9912020"
},
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