Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Farrelly, Terry"'
Autor:
Bombin, Hector, Dawson, Chris, Farrelly, Terry, Liu, Yehua, Nickerson, Naomi, Pant, Mihir, Pastawski, Fernando, Roberts, Sam
Fault-tolerant complexes describe surface-code fault-tolerant protocols from a single geometric object. We first introduce fusion complexes that define a general family of fusion-based quantum computing (FBQC) fault-tolerant quantum protocols based o
Externí odkaz:
http://arxiv.org/abs/2308.07844
Tensor network codes enable structured construction and manipulation of stabilizer codes out of small seed codes. Here, we apply reinforcement learning to tensor network code geometries and demonstrate how optimal stabilizer codes can be found. Using
Externí odkaz:
http://arxiv.org/abs/2305.11470
Tensor-network codes enable the construction of large stabilizer codes out of tensors describing smaller stabilizer codes. An application of tensor-network codes was an efficient and exact decoder for holographic codes. Here, we show how to write som
Externí odkaz:
http://arxiv.org/abs/2109.11996
We consider tensor-network stabilizer codes and show that their tensor-network decoder has the property that independent logical qubits can be decoded in parallel. As long as the error rate is below threshold, we show that this parallel decoder is es
Externí odkaz:
http://arxiv.org/abs/2012.07317
Publikováno v:
Phys. Rev. Lett. 127, 040507 (2021)
Inspired by holographic codes and tensor-network decoders, we introduce tensor-network stabilizer codes which come with a natural tensor-network decoder. These codes can correspond to any geometry, but, as a special case, we generalize holographic co
Externí odkaz:
http://arxiv.org/abs/2009.10329
Publikováno v:
Quantum 6, 748 (2022)
We consider quantum systems with causal dynamics in discrete spacetimes, also known as quantum cellular automata (QCA). Due to time-discreteness this type of dynamics is not characterized by a Hamiltonian but by a one-time-step unitary. This can be w
Externí odkaz:
http://arxiv.org/abs/2006.10707
Autor:
Farrelly, Terry, Streich, Julien
To date, all proposed quantum algorithms for simulating quantum field theory (QFT) simulate (continuous-time) Hamiltonian lattice QFT as a stepping stone. Two overlooked issues are how large we can take the timestep in these simulations while getting
Externí odkaz:
http://arxiv.org/abs/2002.02643
Autor:
Farrelly, Terry
Publikováno v:
Quantum 4, 368 (2020)
Discretizing spacetime is often a natural step towards modelling physical systems. For quantum systems, if we also demand a strict bound on the speed of information propagation, we get quantum cellular automata (QCAs). These originally arose as an al
Externí odkaz:
http://arxiv.org/abs/1904.13318
Autor:
Werner, Reinhard F., Farrelly, Terry
We explore the different meanings of "quantum uncertainty" contained in Heisenberg's seminal paper from 1927, and also some of the precise definitions that were explored later. We recount the controversy about "Anschaulichkeit", visualizability of th
Externí odkaz:
http://arxiv.org/abs/1904.06139
Publikováno v:
Quantum Inf Process 19, 88 (2020)
We propose a discrete spacetime formulation of quantum electrodynamics in one-dimension (a.k.a the Schwinger model) in terms of quantum cellular automata, i.e. translationally invariant circuits of local quantum gates. These have exact gauge covarian
Externí odkaz:
http://arxiv.org/abs/1903.07007