dorsal/arxiv
View SchemaState Transfer instead of Teleportation in Measurement-based Quantum Computation
| Authors | Simon Perdrix |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402204 |
| URL | https://arxiv.org/abs/quant-ph/0402204 |
| DOI | 10.1142/S0219749905000785 |
| Journal | International Journal of Quantum Information, 3(1):219-223, 2005 |
Abstract
Quantum measurement is universal for quantum computation. The model of quantum computation introduced by Nielsen and further developed by Leung relies on a generalized form of teleportation. In order to simulate any n-qubit unitary transformation with this model, 4 auxiliary qubits are required. Moreover Leung exhibited a universal family of observables composed of 4 two-qubit measurements. We introduce a model of quantum computation via measurements only, relying on state transfer: state transfer only retains the part of teleportation which is necessary for computating. In order to simulate any n-qubit unitary transformation with this new model, only one auxiliary qubit is required. Moreover we exhibit a universal family of observables composed of 3 one-qubit measurements and only one two-qubit measurement. This model improves those of Nielsen and Leung in terms of both the number of auxiliary qubits and the number of two-qubit measurements required for quantum universality. In both cases, the minimal amounts of necessary resources are now reached: one auxiliary qubit (because measurement is destructive) and one two-qubit measurement (for creating entanglement).
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"abstract": "Quantum measurement is universal for quantum computation. The model of\nquantum computation introduced by Nielsen and further developed by Leung relies\non a generalized form of teleportation. In order to simulate any n-qubit\nunitary transformation with this model, 4 auxiliary qubits are required.\nMoreover Leung exhibited a universal family of observables composed of 4\ntwo-qubit measurements. We introduce a model of quantum computation via\nmeasurements only, relying on state transfer: state transfer only retains the\npart of teleportation which is necessary for computating. In order to simulate\nany n-qubit unitary transformation with this new model, only one auxiliary\nqubit is required. Moreover we exhibit a universal family of observables\ncomposed of 3 one-qubit measurements and only one two-qubit measurement. This\nmodel improves those of Nielsen and Leung in terms of both the number of\nauxiliary qubits and the number of two-qubit measurements required for quantum\nuniversality. In both cases, the minimal amounts of necessary resources are now\nreached: one auxiliary qubit (because measurement is destructive) and one\ntwo-qubit measurement (for creating entanglement).",
"arxiv_id": "quant-ph/0402204",
"authors": [
"Simon Perdrix"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0219749905000785",
"journal_ref": "International Journal of Quantum Information, 3(1):219-223, 2005",
"title": "State Transfer instead of Teleportation in Measurement-based Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0402204"
},
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