dorsal/arxiv
View SchemaOn Quantum A/D and D/A Conversion
| Authors | Frank Schmuser, Dominik Janzing |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505008 |
| URL | https://arxiv.org/abs/quant-ph/0505008 |
| DOI | 10.1103/PhysRevA.72.042324 |
Abstract
An algorithm is proposed which transfers the quantum information of a wave function (analogue signal) into a register of qubits (digital signal) such that $n$ qubits describe the amplitudes and phases of $2^n$ points of a sufficiently smooth wave function. We assume that the continuous degree of freedom couples to one or more qubits of a quantum register via a Jaynes Cummings Hamiltonian and that we have universal quantum computation capabilities on the register as well as the possibility to perform bang-bang control on the qubits. The transfer of information is mainly based on the application of the quantum phase-estimation algorithm in both directions. Here, the running time increases exponentially with the number of qubits. We pose it as an open question which interactions would allow polynomial running time. One example would be interactions which enable exact squeezing operations.
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"abstract": "An algorithm is proposed which transfers the quantum information of a wave\nfunction (analogue signal) into a register of qubits (digital signal) such that\n$n$ qubits describe the amplitudes and phases of $2^n$ points of a sufficiently\nsmooth wave function. We assume that the continuous degree of freedom couples\nto one or more qubits of a quantum register via a Jaynes Cummings Hamiltonian\nand that we have universal quantum computation capabilities on the register as\nwell as the possibility to perform bang-bang control on the qubits. The\ntransfer of information is mainly based on the application of the quantum\nphase-estimation algorithm in both directions. Here, the running time increases\nexponentially with the number of qubits. We pose it as an open question which\ninteractions would allow polynomial running time. One example would be\ninteractions which enable exact squeezing operations.",
"arxiv_id": "quant-ph/0505008",
"authors": [
"Frank Schmuser",
"Dominik Janzing"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.042324",
"title": "On Quantum A/D and D/A Conversion",
"url": "https://arxiv.org/abs/quant-ph/0505008"
},
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