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Autor:
Penney, Mark D.
Topological field theory (TFT) is the study of representations of the cobordism category of manifolds. Such representations are often constructed from purely algebraic inputs. For example, 2d TFTs are constructed from commutative Frobenius algebras.
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.729861
Autor:
Penney, Mark D
Hall algebras and related constructions have had diverse applications in mathematics and physics, ranging from representation theory and quantum groups to Donaldson-Thomas theory and the algebra of BPS states. The theory of $2$-Segal spaces was intro
Externí odkaz:
http://arxiv.org/abs/1711.10194
Autor:
Penney, Mark D
Dyckerhoff--Kapranov and G\'alvez-Carrillo--Kock--Tonks independently introduced the notion of a $2$-Segal space, that is, a simplicial space satisfying $2$-dimensional analogues of the Segal conditions, as a unifying framework for understanding the
Externí odkaz:
http://arxiv.org/abs/1710.02742
Publikováno v:
Quantum Information and Computation, Vol. 17, No. 13&14 (2017) 1081-1095
By the Gottesman-Knill Theorem, the outcome probabilities of Clifford circuits can be computed efficiently. We present an alternative proof of this result for quopit Clifford circuits (i.e., Clifford circuits on collections of $p$-level systems, wher
Externí odkaz:
http://arxiv.org/abs/1702.03316
Publikováno v:
New J. Phys. 19, 073006 (2017)
It is straightforward to give a sum-over-paths expression for the transition amplitudes of a quantum circuit as long as the gates in the circuit are balanced, where to be balanced is to have all nonzero transition amplitudes of equal magnitude. Here
Externí odkaz:
http://arxiv.org/abs/1604.07452
Autor:
Penney, Mark D
Consider a quantum system $\cS$ that interacts sequentially with a chain (environment) of identical probes ${\cal C} = \cP+\cP+...$, with each interaction governed by a fixed interaction time $\tau$ and operator $V$. It is known how to construct the
Externí odkaz:
http://arxiv.org/abs/1009.6141
Autor:
Penney, Mark D.1,2 (AUTHOR) m2penney@uwaterloo.ca, Yargic, Yigit1,3 (AUTHOR), Smolin, Lee1 (AUTHOR), Thommes, Edward W.4,5,6 (AUTHOR), Anand, Madhur7 (AUTHOR), Bauch, Chris T.2 (AUTHOR)
Publikováno v:
PLoS ONE. 9/22/2021, Vol. 16 Issue 9, p1-15. 15p.
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