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pro vyhledávání: '"Booth, Robert A."'
We give generators and relations for the hypergraph props of Gaussian relations and positive affine Lagrangian relations. The former extends Gaussian probabilistic processes by completely-uninformative priors, and the latter extends Gaussian quantum
Externí odkaz:
http://arxiv.org/abs/2403.10479
We give complete presentations for the dagger-compact props of affine Lagrangian and coisotropic relations over an arbitrary field. This provides a unified family of graphical languages for both affinely constrained classical mechanical systems, as w
Externí odkaz:
http://arxiv.org/abs/2401.07914
Publikováno v:
EPTCS 384, 2023, pp. 220-264
We present a smorgasbord of results on the stabiliser ZX-calculus for odd prime-dimensional qudits (i.e. qupits). We derive a simplified rule set that closely resembles the original rules of qubit ZX-calculus. Using these rules, we demonstrate analog
Externí odkaz:
http://arxiv.org/abs/2306.05204
Autor:
Booth, Robert I., Carette, Titouan
Publikováno v:
MFCS 2022, 24:1-24:15
We introduce a family of ZX-calculi which axiomatise the stabiliser fragment of quantum theory in odd prime dimensions. These calculi recover many of the nice features of the qubit ZX-calculus which were lost in previous proposals for higher-dimensio
Externí odkaz:
http://arxiv.org/abs/2204.12531
We consider the long-time behavior of the massless Dirac equation coupled to a Coulomb potential. For nice enough initial data, we find a joint asymptotic expansion for solutions near the null and future infinities and characterize explicitly the dec
Externí odkaz:
http://arxiv.org/abs/2112.06111
Quantum computers will provide considerable speedups with respect to their classical counterparts. However, the identification of the innately quantum features that enable these speedups is challenging. In the continuous-variable setting - a promisin
Externí odkaz:
http://arxiv.org/abs/2111.13218
Publikováno v:
J. Phys. A: Math. Theor. 56 115303 (2023)
In measurement-based quantum computing (MBQC), computation is carried out by a sequence of measurements and corrections on an entangled state. Flow, and related concepts, are powerful techniques for characterising the dependence of the corrections on
Externí odkaz:
http://arxiv.org/abs/2109.13810
Autor:
Booth, Robert I., Markham, Damian
Publikováno v:
Quantum 7, 1146 (2023)
In measurement-based quantum computing (MBQC), computation is carried out by a sequence of measurements and corrections on an entangled state. Flow, and related concepts, are powerful techniques for characterising the dependence of the corrections on
Externí odkaz:
http://arxiv.org/abs/2104.00572
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