|
related topics |
{states, state, optimal} |
{state, phys, rev} |
{theory, mechanics, state} |
{cos, sin, state} |
{qubit, qubits, gate} |
{alice, bob, state} |
{let, theorem, proof} |
{information, entropy, channel} |
{observables, space, algebra} |
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Impossibility of partial swapping of Quantum Information
Indranil Chakrabarty
abstract: It is a well known fact that a quantum state $|\psi(\theta,\phi)>$ are
represented by a point on the Bloch sphere, characterized by two parameters
$\theta$ and $\phi$. Here in this work, we find out another impossible
operation in quantum information theory . We name this impossibility as
'Impossibility of partial swapping of quantum information '. By this we mean
that if two unknown quantum states are given at the input port, there exists no
physical process, consistent with the principles of quantum mechanics, by which
we can partially swap either of the two parameters $\theta$ and $\phi$ between
these two quantum states. In this work we provided the impossibility proofs for
the qubits(i.e the quantum states taken from two dimensional Hilbert space) and
this impossible operation can be shown to hold in higher dimension also.
- oai_identifier:
- oai:arXiv.org:quant-ph/0612123
- categories:
- quant-ph
- comments:
- Accepted for publication in IJQI
- arxiv_id:
- quant-ph/0612123
- journal_ref:
- IJQI,Volume: 5 No: 4 Year: 2007 pp. 605-609
- created:
- 2006-12-14
- updated:
- 2007-06-06
Full article ▸
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