dorsal/arxiv
View SchemaImpossibility of comparing and sorting quantum states
| Authors | A. John Arul |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107085 |
| URL | https://arxiv.org/abs/quant-ph/0107085 |
Abstract
Is there any point of principle that prohibits us from doing one or more forms of quantum information processing? It is now well known that an unknown quantum state can neither be copied nor deleted perfectly. Given a set of states which are not necessarily orthogonal, is it possible to compare any two states from the set, given some reasonable ordering of such states? Is it possible to sort them in some specific order? In the context of quantum computation, it is shown here that there is no quantum circuit implementing a unitary transformation, for comparing and sorting an unrestricted set of quantum states.
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"abstract": "Is there any point of principle that prohibits us from doing one or more\nforms of quantum information processing? It is now well known that an unknown\nquantum state can neither be copied nor deleted perfectly. Given a set of\nstates which are not necessarily orthogonal, is it possible to compare any two\nstates from the set, given some reasonable ordering of such states? Is it\npossible to sort them in some specific order? In the context of quantum\ncomputation, it is shown here that there is no quantum circuit implementing a\nunitary transformation, for comparing and sorting an unrestricted set of\nquantum states.",
"arxiv_id": "quant-ph/0107085",
"authors": [
"A. John Arul"
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"title": "Impossibility of comparing and sorting quantum states",
"url": "https://arxiv.org/abs/quant-ph/0107085"
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