dorsal/arxiv
View SchemaQuantum homogenization
| Authors | M. Ziman, P. Stelmachovic, V. Buzek, M. Hillery, V. Scarani, N. Gisin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110164 |
| URL | https://arxiv.org/abs/quant-ph/0110164 |
Abstract
We design a universal quantum homogenizer, which is a quantum machine that takes as an input a system qubit initially in the state $\rho$ and a set of N reservoir qubits initially prepared in the same state $\xi$. In the homogenizer the system qubit sequentially interacts with the reservoir qubits via the partial swap transformation. The homogenizer realizes, in the limit sense, the transformation such that at the output each qubit is in an arbitratily small neighbourhood of the state $\xi$ irrespective of the initial states of the system and the reservoir qubits. This means that the system qubit undergoes an evolution that has a fixed point, which is the reservoir state $\xi$. We also study approximate homogenization when the reservoir is composed of a finite set of identically prepared qubits. The homogenizer allows us to understand various aspects of the dynamics of open systems interacting with environments in non-equilibrium states. In particular, the reversibility vs or irreversibility of the dynamics of the open system is directly linked to specific (classical) information about the order in which the reservoir qubits interacted with the system qubit. This aspect of the homogenizer leads to a model of a quantum safe with a classical combination.We analyze in detail how entanglement between the reservoir and the system is created during the process of quantum homogenization. We show that the information about the initial state of the system qubit is stored in the entanglement between the homogenized qubits.
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"abstract": "We design a universal quantum homogenizer, which is a quantum machine that\ntakes as an input a system qubit initially in the state $\\rho$ and a set of N\nreservoir qubits initially prepared in the same state $\\xi$. In the homogenizer\nthe system qubit sequentially interacts with the reservoir qubits via the\npartial swap transformation. The homogenizer realizes, in the limit sense, the\ntransformation such that at the output each qubit is in an arbitratily small\nneighbourhood of the state $\\xi$ irrespective of the initial states of the\nsystem and the reservoir qubits. This means that the system qubit undergoes an\nevolution that has a fixed point, which is the reservoir state $\\xi$. We also\nstudy approximate homogenization when the reservoir is composed of a finite set\nof identically prepared qubits. The homogenizer allows us to understand various\naspects of the dynamics of open systems interacting with environments in\nnon-equilibrium states. In particular, the reversibility vs or irreversibility\nof the dynamics of the open system is directly linked to specific (classical)\ninformation about the order in which the reservoir qubits interacted with the\nsystem qubit. This aspect of the homogenizer leads to a model of a quantum safe\nwith a classical combination.We analyze in detail how entanglement between the\nreservoir and the system is created during the process of quantum\nhomogenization. We show that the information about the initial state of the\nsystem qubit is stored in the entanglement between the homogenized qubits.",
"arxiv_id": "quant-ph/0110164",
"authors": [
"M. Ziman",
"P. Stelmachovic",
"V. Buzek",
"M. Hillery",
"V. Scarani",
"N. Gisin"
],
"categories": [
"quant-ph"
],
"title": "Quantum homogenization",
"url": "https://arxiv.org/abs/quant-ph/0110164"
},
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