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20102026
most citedGraph-theoretic Simplification of Quantum Circuits with the ZX-calculus

194 citations · 1.2k across the 78 of their papers we have counts for

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Showing 2017Show all

6 papers · 1 filter

quant-ph2017★ 10 cited

Equivalence of relativistic causal structure and process terminality

Aleks Kissinger, Matty Hoban, Bob Coecke

In general relativity, `causal structure' refers to the partial order on space-time points (or regions) that encodes time-like relationships. Recently, quantum information and quan…

quant-ph2017★ 4 cited

Picture-perfect Quantum Key Distribution

Aleks Kissinger, Sean Tull, Bas Westerbaan

We provide a new way to bound the security of quantum key distribution using only two high-level, diagrammatic features of quantum processes: the compositional behavior of compleme…

quant-ph2017★ 34 cited

Universal MBQC with generalised parity-phase interactions and Pauli measurements

Aleks Kissinger, John van de Wetering

We introduce a new family of models for measurement-based quantum computation which are deterministic and approximately universal. The resource states which play the role of graph…

quant-ph2017★ 6 cited

Fully graphical treatment of the quantum algorithm for the Hidden Subgroup Problem

Stefano Gogioso, Aleks Kissinger

The abelian Hidden Subgroup Problem (HSP) is extremely general, and many problems with known quantum exponential speed-up (such as integers factorisation, the discrete logarithm an…

cs.OH2017★ 6 cited

Picturing Indefinite Causal Structure

Aleks Kissinger, Sander Uijlen

Following on from the notion of (first-order) causality, which generalises the notion of being tracepreserving from CP-maps to abstract processes, we give a characterization for th…

quant-ph2017★ 9 cited

A categorical semantics for causal structure

Aleks Kissinger, Sander Uijlen

We present a categorical construction for modelling causal structures within a general class of process theories that include the theory of classical probabilistic processes as wel…