| 1. |
- Du, Jiangfeng, et al.
(författare)
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An experimental observation of geometric phases for mixed states using NMR interferometry
- 2003
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Ingår i: Physical Review Letters. - 0031-9007 .- 1079-7114. ; 91:10, s. 100403-
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Tidskriftsartikel (refereegranskat)abstract
- Examples of geometric phases abound in many areas of physics. They offer both fundamental insights into many physical phenomena and lead to interesting practical implementations. One of them, as indicated recently, might be an inherently fault-tolerant quantum computation. This, however, requires to deal with geometric phases in the presence of noise and interactions between different physical subsystems. Despite the wealth of literature on the subject of geometric phases very little is known about this very important case. Here we report the first experimental study of geometric phases for mixed quantum states. We show how different they are from the well understood, noiseless, pure-state case.
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| 2. |
- Zhang, Jiang, et al.
(författare)
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Fast non-Abelian geometric gates via transitionless quantum driving
- 2015
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Ingår i: Scientific Reports. - : Springer Science and Business Media LLC. - 2045-2322. ; 5
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Tidskriftsartikel (refereegranskat)abstract
- A practical quantum computer must be capable of performing high fidelity quantum gates on a set of quantum bits (qubits). In the presence of noise, the realization of such gates poses daunting challenges. Geometric phases, which possess intrinsic noise-tolerant features, hold the promise for performing robust quantum computation. In particular, quantum holonomies, i.e., non-Abelian geometric phases, naturally lead to universal quantum computation due to their non-commutativity. Although quantum gates based on adiabatic holonomies have already been proposed, the slow evolution eventually compromises qubit coher- ence and computational power. Here, we propose a general approach to speed up an implementation of adiabatic holonomic gates by using transitionless driving techniques and show how such a universal set of fast geometric quantum gates in a superconducting circuit architecture can be obtained in an all geometric approach. Compared with standard non-adiabatic holonomic quantum computation, the holonomies ob- tained in our approach tends asymptotically to those of the adiabatic approach in the long run-time limit and thus might open up a new horizon for realizing a practical quantum computer.
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| 3. |
- Zhang, Jiang, et al.
(författare)
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Geometric and holonomic quantum computation
- 2023
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Ingår i: Physics reports. - : Elsevier. - 0370-1573 .- 1873-6270. ; 1027, s. 1-53
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Forskningsöversikt (refereegranskat)abstract
- Geometric and holonomic quantum computation utilize intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only on evolution paths of quantum systems, quantum gates based on them possess built-in resilience to certain kinds of errors. This article provides an introduction to the topic as well as gives an overview of the theoretical and experimental progresses for constructing geometric and holonomic quantum gates and how to combine them with other error-resistant techniques.
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