dorsal/arxiv
View SchemaWhat is Possible Without Disturbing Partially Known Quantum States?
| Authors | Masato Koashi, Nobuyuki Imoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101144 |
| URL | https://arxiv.org/abs/quant-ph/0101144 |
Abstract
Consider a situation in which a quantum system is secretly prepared in a state chosen from the known set of states. We present a principle that gives a definite distinction between the operations that preserve the states of the system and those that disturb the states. The principle is derived by alternately applying a fundamental property of classical signals and a fundamental property of quantum ones. The principle can be cast into a simple form by using a decomposition of the relevant Hilbert space, which is uniquely determined by the set of possible states. The decomposition implies the classification of the degrees of freedom of the system into three parts depending on how they store the information on the initially chosen state: one storing it classically, one storing it nonclassically, and the other one storing no information. Then the principle states that the nonclassical part is inaccessible and the classical part is read-only if we are to preserve the state of the system. From this principle, many types of no-cloning, no-broadcasting, and no-imprinting conditions can easily be derived in general forms including mixed states. It also gives a unified view on how various schemes of quantum cryptography work. The principle helps to derive optimum amount of resources (bits, qubits, and ebits) required in data compression or in quantum teleportation of mixed-state ensembles.
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"abstract": "Consider a situation in which a quantum system is secretly prepared in a\nstate chosen from the known set of states. We present a principle that gives a\ndefinite distinction between the operations that preserve the states of the\nsystem and those that disturb the states. The principle is derived by\nalternately applying a fundamental property of classical signals and a\nfundamental property of quantum ones. The principle can be cast into a simple\nform by using a decomposition of the relevant Hilbert space, which is uniquely\ndetermined by the set of possible states. The decomposition implies the\nclassification of the degrees of freedom of the system into three parts\ndepending on how they store the information on the initially chosen state: one\nstoring it classically, one storing it nonclassically, and the other one\nstoring no information. Then the principle states that the nonclassical part is\ninaccessible and the classical part is read-only if we are to preserve the\nstate of the system. From this principle, many types of no-cloning,\nno-broadcasting, and no-imprinting conditions can easily be derived in general\nforms including mixed states. It also gives a unified view on how various\nschemes of quantum cryptography work. The principle helps to derive optimum\namount of resources (bits, qubits, and ebits) required in data compression or\nin quantum teleportation of mixed-state ensembles.",
"arxiv_id": "quant-ph/0101144",
"authors": [
"Masato Koashi",
"Nobuyuki Imoto"
],
"categories": [
"quant-ph"
],
"title": "What is Possible Without Disturbing Partially Known Quantum States?",
"url": "https://arxiv.org/abs/quant-ph/0101144"
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