dorsal/arxiv
View SchemaQuantum disentanglers
| Authors | Vladimir Buzek, Mark Hillery |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006047 |
| URL | https://arxiv.org/abs/quant-ph/0006047 |
| DOI | 10.1103/PhysRevA.62.052303 |
Abstract
It is not possible to disentangle a qubit in an unknown state $|\psi>$ from a set of (N-1) ancilla qubits prepared in a specific reference state $|0>$. That is, it is not possible to {\em perfectly} perform the transformation $(|\psi,0...,0\r +|0,\psi,...,0\r +...+ |0,0,...\psi\r) \to |0,...,0>\otimes |\psi>$. The question is then how well we can do? We consider a number of different methods of extracting an unknown state from an entangled state formed from that qubit and a set of ancilla qubits in an known state. Measuring the whole system is, as expected, the least effective method. We present various quantum ``devices'' which disentangle the unknown qubit from the set of ancilla qubits. In particular, we present the optimal universal disentangler which disentangles the unknown qubit with the fidelity which does not depend on the state of the qubit, and a probabilistic disentangler which performs the perfect disentangling transformation, but with a probability less than one.
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"abstract": "It is not possible to disentangle a qubit in an unknown state $|\\psi\u003e$ from a\nset of (N-1) ancilla qubits prepared in a specific reference state $|0\u003e$. That\nis, it is not possible to {\\em perfectly} perform the transformation\n$(|\\psi,0...,0\\r +|0,\\psi,...,0\\r +...+ |0,0,...\\psi\\r) \\to |0,...,0\u003e\\otimes\n|\\psi\u003e$. The question is then how well we can do? We consider a number of\ndifferent methods of extracting an unknown state from an entangled state formed\nfrom that qubit and a set of ancilla qubits in an known state. Measuring the\nwhole system is, as expected, the least effective method. We present various\nquantum ``devices\u0027\u0027 which disentangle the unknown qubit from the set of ancilla\nqubits. In particular, we present the optimal universal disentangler which\ndisentangles the unknown qubit with the fidelity which does not depend on the\nstate of the qubit, and a probabilistic disentangler which performs the perfect\ndisentangling transformation, but with a probability less than one.",
"arxiv_id": "quant-ph/0006047",
"authors": [
"Vladimir Buzek",
"Mark Hillery"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.052303",
"title": "Quantum disentanglers",
"url": "https://arxiv.org/abs/quant-ph/0006047"
},
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