Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 55, Issue 7, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac4393
Keywords
quantum computing; quantum control; quantum information
Categories
Funding
- Austrian Academy of Sciences (OAW)
- Joint Centre for Extreme Photonics (JCEP)
- Austrian Science Fund (FWF) [BeyondC-F7112]
- ESQ Discovery Grant of the Austrian Academy of Sciences (OAW)
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This work demonstrates that universal quantum computation can be achieved by supplementing a set of classical gates with a quantum control. Even a primitive computer with only SWAP gates can be lifted to universal quantum computing with appropriate quantum control.
A universal set of gates for (classical or quantum) computation is a set of gates that can be used to approximate any other operation. It is well known that a universal set for classical computation augmented with the Hadamard gate results in universal quantum computing. Motivated by the latter, we pose the following question: can one perform universal quantum computation by supplementing a set of classical gates with a quantum control, and a set of quantum gates operating solely on the latter? In this work we provide an affirmative answer to this question by considering a computational model that consists of 2n target bits together with a set of classical gates controlled by log (2n + 1) ancillary qubits. We show that this model is equivalent to a quantum computer operating on n qubits. Furthermore, we show that even a primitive computer that is capable of implementing only SWAP gates, can be lifted to universal quantum computing, if aided with an appropriate quantum control of logarithmic size. Our results thus exemplify the information processing power brought forth by the quantum control system.
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