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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Universal superposition of arbitrary orthogonal states
arXiv
Authors: Mina Doosti, Farzad Kianvash, Vahid Karimipour
Year
2017
Paper ID
44037
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
Abstract
It is known that no quantum process can produce a predetermined superposition of unknown arbitrary states. It has already been shown that with some partial information about the states, one can produce with some probability such superpositions. Here we show that there are universal machines which can produce superpositions of unknown orthogonal states with unit probability. Our construction unravels the relation between the no-cloning theorem and the no-superposition theorem, that is we show that if a perfect cloning machine exists, then a universal superposition machine can also exist.
Why This Paper Matters
- This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
- It adds a 2017 reference point for readers tracking recent quantum research.
- It is known that no quantum process can produce a predetermined superposition of unknown arbitrary states.
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