Abstract
Quantum computation strongly relies on the realization, manipulation, and control of qubits. A central method for realizing qubits is by creating a double-well potential system with a significant gap between the first two eigenvalues and the rest. In this work, we first revisit the theoretical grounds underlying the double-well qubit dynamics, then proceed to suggest novel extensions of these principles to a triple-well qutrit with periodic boundary conditions, followed by a general d-well analysis of qudits. These analyses are based on representations of the special unitary groups SU(d) which expose the systems' symmetry and employ them for performing computations. We conclude with a few notes on coherence and scalability of d-well systems.
Original language | English |
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Article number | 1650029 |
Journal | International Journal of Quantum Information |
Volume | 14 |
Issue number | 5 |
DOIs | |
State | Published - 1 Aug 2016 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2016 World Scientific Publishing Company.
Funding
We thank Boaz Tamir for many helpful discussions. Y. Aharonov acknowledges support from the Israel Science Foundation (Grant No. 1311/14), the ICORE Excellence Center 'Circle of Light' and the German-Israeli Project Cooperation (DIP) for support. E. Cohen was supported by ERC AdG NLST.
Funders | Funder number |
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DIP | |
German-Israeli Project Cooperation | |
European Commission | |
Israel Science Foundation | 1311/14 |
Keywords
- Qudits
- potential wells
- quantum gates
- special unitary group