dorsal/arxiv
View SchemaLogical Interpretation of a Reversible Measurement in Quantum Computing
| Authors | Giulia Battilotti, Paola Zizzi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408068 |
| URL | https://arxiv.org/abs/quant-ph/0408068 |
Abstract
We give the logical description of a new kind of quantum measurement that is a reversible operation performed by an hypothetical insider observer, or, which is the same, a quantum measurement made in a quantum space background, like the fuzzy sphere. The result is that the non-contradiction and the excluded middle principles are both invalidated, leading to a paraconsistent, symmetric logic. Our conjecture is that, in this setting, one can develop the adequate logic of quantum computing. The role of standard quantum logic is then confined to describe the projective measurement scheme.
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"abstract": "We give the logical description of a new kind of quantum measurement that is\na reversible operation performed by an hypothetical insider observer, or, which\nis the same, a quantum measurement made in a quantum space background, like the\nfuzzy sphere. The result is that the non-contradiction and the excluded middle\nprinciples are both invalidated, leading to a paraconsistent, symmetric logic.\nOur conjecture is that, in this setting, one can develop the adequate logic of\nquantum computing. The role of standard quantum logic is then confined to\ndescribe the projective measurement scheme.",
"arxiv_id": "quant-ph/0408068",
"authors": [
"Giulia Battilotti",
"Paola Zizzi"
],
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"quant-ph",
"cs.LO",
"math-ph",
"math.LO",
"math.MP"
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"title": "Logical Interpretation of a Reversible Measurement in Quantum Computing",
"url": "https://arxiv.org/abs/quant-ph/0408068"
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