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Finding spin glass ground states using quantum walks (2019)
Journal Article
Callison, A., Chancellor, N., Mintert, F., & Kendon, V. (2019). Finding spin glass ground states using quantum walks. New Journal of Physics, 21, Article 123022. https://doi.org/10.1088/1367-2630/ab5ca2

Quantum computation using continuous-time evolution under a natural hardware Hamiltonian is a promising near- and mid-term direction toward powerful quantum computing hardware. We investigate the performance of continuous-time quantum walks as a tool... Read More about Finding spin glass ground states using quantum walks.

Practical designs for permutation-symmetric problem Hamiltonians on hypercubes (2019)
Journal Article
Dodds, A. B., Kendon, V., Adams, C. S., & Chancellor, N. (2019). Practical designs for permutation-symmetric problem Hamiltonians on hypercubes. Physical Review A, 100(3), Article 032320. https://doi.org/10.1103/physreva.100.032320

We present a method to experimentally realize large-scale permutation-symmetric Hamiltonians for continuous-time quantum protocols such as quantum walks and adiabatic quantum computation. In particular, the method can be used to perform an encoded co... Read More about Practical designs for permutation-symmetric problem Hamiltonians on hypercubes.

Quantum search with hybrid adiabatic–quantum-walk algorithms and realistic noise (2019)
Journal Article
Morley, J. G., Chancellor, N., Bose, S., & Kendon, V. (2019). Quantum search with hybrid adiabatic–quantum-walk algorithms and realistic noise. Physical Review A, 99(2), Article 022339. https://doi.org/10.1103/physreva.99.022339

Computing using a continuous-time evolution, based on the natural interaction Hamiltonian of the quantum computer hardware, is a promising route to building useful quantum computers in the near term. Adiabatic quantum computing, quantum annealing, co... Read More about Quantum search with hybrid adiabatic–quantum-walk algorithms and realistic noise.

Protecting quantum memories using coherent parity check codes (2018)
Journal Article
Roffe, J., Headley, D., Chancellor, N., Horsman, D., & Kendon, V. (2018). Protecting quantum memories using coherent parity check codes. Quantum Science and Technology, 3(3), Article 035010. https://doi.org/10.1088/2058-9565/aac64e

Coherent parity check (CPC) codes are a new framework for the construction of quantum error correction codes that encode multiple qubits per logical block. CPC codes have a canonical structure involving successive rounds of bit and phase parity check... Read More about Protecting quantum memories using coherent parity check codes.

The quantum walk search algorithm: factors affecting efficiency (2018)
Journal Article
Lovett, N. B., Everitt, M., Heath, R. M., & Kendon, V. (2019). The quantum walk search algorithm: factors affecting efficiency. Mathematical Structures in Computer Science, 29(3), 389-429. https://doi.org/10.1017/s0960129518000051

We carry out a numerical study of the quantum walk search algorithm of Shenvi, Kempe and Whaley Shenvi et al. (2003) and the factors that affect its efficiency in finding an individual state from an unsorted set. Previous work has focused purely on t... Read More about The quantum walk search algorithm: factors affecting efficiency.

Ancilla-driven quantum computation for qudits and continuous variables (2017)
Journal Article
Proctor, T., Giulian, M., Korolkova, N., Andersson, E., & Kendon, V. (2017). Ancilla-driven quantum computation for qudits and continuous variables. Physical Review A, 95(5), Article 052317. https://doi.org/10.1103/physreva.95.052317

Although qubits are the leading candidate for the basic elements in a quantum computer, there are also a range of reasons to consider using higher-dimensional qudits or quantum continuous variables (QCVs). In this paper, we use a general “quantum var... Read More about Ancilla-driven quantum computation for qudits and continuous variables.

Quantum walk transport properties on graphene structures (2016)
Journal Article
Bougroura, H., Aissaoui, H., Chancellor, N., & Kendon, V. (2016). Quantum walk transport properties on graphene structures. Physical Review A, 94(6), Article 062331. https://doi.org/10.1103/physreva.94.062331

We present numerical studies of quantum walks on C 60 and related graphene structures to investigate their transport properties. Also known as a honeycomb lattice, the lattice formed by carbon atoms in the graphene phase can be rolled up to form nano... Read More about Quantum walk transport properties on graphene structures.

Hybrid quantum computing with ancillas (2016)
Journal Article
Proctor, T. J., & Kendon, V. (2016). Hybrid quantum computing with ancillas. Contemporary Physics, 57(4), 459-476. https://doi.org/10.1080/00107514.2016.1152700

In the quest to build a practical quantum computer, it is important to use efficient schemes for enacting the elementary quantum operations from which quantum computer programs are constructed. The opposing requirements of well-protected quantum data... Read More about Hybrid quantum computing with ancillas.

Heterotic computing: exploiting hybrid computational devices (2015)
Journal Article
Kendon, V., Sebald, A., & Stepney, S. (2015). Heterotic computing: exploiting hybrid computational devices. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 373(2046), Article 20150091. https://doi.org/10.1098/rsta.2015.0091

Current computational theory deals almost exclusively with single models: classical, neural, analogue, quantum, etc. In practice, researchers use ad hoc combinations, realizing only recently that they can be fundamentally more powerful than the indiv... Read More about Heterotic computing: exploiting hybrid computational devices.