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pro vyhledávání: '"Browne, A E"'
We study the implementation of fault-tolerant logical Clifford gates on stabilizer quantum error correcting codes based on their symmetries. Our approach is to map the stabilizer code to a binary linear code, compute its automorphism group, and impos
Externí odkaz:
http://arxiv.org/abs/2409.18175
Continuous-time quantum algorithms for combinatorial optimisation problems, such as quantum annealing, have previously been motivated by the adiabatic principle. A number of continuous-time approaches exploit dynamics, however, and therefore are no l
Externí odkaz:
http://arxiv.org/abs/2407.03910
Autor:
Banks, Robert J., Haque, Ehsan, Nazef, Farah, Fethallah, Fatima, Ruqaya, Fatima, Ahsan, Hamza, Vora, Het, Tahir, Hibah, Ahmad, Ibrahim, Hewins, Isaac, Shah, Ishaq, Baranwal, Krish, Arora, Mannan, Asad, Mateen, Khan, Mubasshirah, Hasan, Nabian, Azad, Nuh, Fedaiee, Salgai, Majeed, Shakeel, Bhuyan, Shayam, Tarannum, Tasfia, Ali, Yahya, Browne, Dan E., Warburton, P. A.
Publikováno v:
Quantum 8, 1254 (2024)
By exploiting the link between time-independent Hamiltonians and thermalisation, heuristic predictions on the performance of continuous-time quantum walks for MAX-CUT are made. The resulting predictions depend on the number of triangles in the underl
Externí odkaz:
http://arxiv.org/abs/2306.10365
Autor:
Griffiths, Sam J., Browne, Dan E.
The union-find decoder is a leading algorithmic approach to the correction of quantum errors on the surface code, achieving code thresholds comparable to minimum-weight perfect matching (MWPM) with amortised computational time scaling near-linearly i
Externí odkaz:
http://arxiv.org/abs/2306.09767
We propose a variational quantum eigensolver (VQE) algorithm that uses a fault-tolerant gate-set, and is hence suitable for implementation on a future error-corrected quantum computer. VQE quantum circuits are typically designed for near-term, noisy
Externí odkaz:
http://arxiv.org/abs/2303.04491
Matchgates are a family of parity-preserving two-qubit gates, nearest-neighbour circuits of which are known to be classically simulable in polynomial time. In this work, we present a simulation method to classically simulate an $\boldsymbol{n}$-qubit
Externí odkaz:
http://arxiv.org/abs/2302.02654
Publikováno v:
Quantum 8, 1253 (2024)
We propose a new design heuristic to tackle combinatorial optimisation problems, inspired by Hamiltonians for optimal state-transfer. The result is a rapid approximate optimisation algorithm. We provide numerical evidence of the success of this new d
Externí odkaz:
http://arxiv.org/abs/2301.06846
Large-scale quantum computers have the potential to hold computational capabilities beyond conventional computers for certain problems. However, the physical qubits within a quantum computer are prone to noise and decoherence, which must be corrected
Externí odkaz:
http://arxiv.org/abs/2209.08552
Autor:
Callison, Adam, Browne, Dan E.
Quantum amplitude estimation is a key subroutine in a number of powerful quantum algorithms, including quantum-enhanced Monte Carlo simulation and quantum machine learning. Maximum-likelihood quantum amplitude estimation (MLQAE) is one of a number of
Externí odkaz:
http://arxiv.org/abs/2209.03321
Publikováno v:
Phys. Rev. Research 4, 043052 (2022)
A powerful feature of stabiliser error correcting codes is the fact that stabiliser measurement projects arbitrary errors to Pauli errors, greatly simplifying the physical error correction process as well as classical simulations of code performance.
Externí odkaz:
http://arxiv.org/abs/2202.05746