Realization of a scalable Shor algorithm
| Autor: | Isaac L. Chuang, Daniel Nigg, Matthias F. Brandl, Richard Rines, Shannon X. Wang, Rainer Blatt, Esteban Martínez, Thomas Monz, Philipp Schindler |
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| Rok vydání: | 2016 |
| Předmět: |
Quantum Physics
Quantum sort Multidisciplinary Shor's algorithm FOS: Physical sciences 02 engineering and technology Parallel computing 021001 nanoscience & nanotechnology 01 natural sciences Quantum error correction Qubit 0103 physical sciences Scalability Quantum algorithm Quantum Physics (quant-ph) 010306 general physics 0210 nano-technology Realization (systems) Quantum computer |
| Zdroj: | Science. 351:1068-1070 |
| ISSN: | 1095-9203 0036-8075 |
| DOI: | 10.1126/science.aad9480 |
| Popis: | Quantum computers are able to outperform classical algorithms. This was long recognized by the visionary Richard Feynman who pointed out in the 1980s that quantum mechanical problems were better solved with quantum machines. It was only in 1994 that Peter Shor came up with an algorithm that is able to calculate the prime factors of a large number vastly more efficiently than known possible with a classical computer. This paradigmatic algorithm stimulated the flourishing research in quantum information processing and the quest for an actual implementation of a quantum computer. Over the last fifteen years, using skillful optimizations, several instances of a Shor algorithm have been implemented on various platforms and clearly proved the feasibility of quantum factoring. For general scalability, though, a different approach has to be pursued. Here, we report the realization of a fully scalable Shor algorithm as proposed by Kitaev. For this, we demonstrate factoring the number fifteen by effectively employing and controlling seven qubits and four "cache-qubits", together with the implementation of generalized arithmetic operations, known as modular multipliers. The scalable algorithm has been realized with an ion-trap quantum computer exhibiting success probabilities in excess of 90%. 5 pages, 3 figures, 4 pages suppl. material (incl. 1 figure) |
| Databáze: | OpenAIRE |
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