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20172025
most citedReducing the Depth of Linear Reversible Quantum Circuits

35 citations

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Showing 2021Show all

6 papers · 1 filter

math.CO2021

The interval posets of permutations seen from the decomposition tree perspective

Mathilde Bouvel, Lapo Cioni, Benjamin Izart

The interval poset of a permutation is the set of intervals of a permutation, ordered with respect to inclusion. It has been introduced and studied recently in [B. Tenner, arXiv:20…

quant-ph2021★ 5 cited

Outcome determinism in measurement-based quantum computation with qudits

Robert I. Booth, Aleks Kissinger, Damian Markham +2

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 power…

math.CO2021★ 1 cited

Baxter Tree-like Tableaux

Jean-Christophe Aval, Adrien Boussicault, Mathilde Bouvel +2

Tree-like tableaux are objects in bijection with alternative or permutation tableaux. They have been the subject of a fruitful combinatorial study for the past few years. In the pr…

math.RA2021

Strong shift equivalence as a category notion

Emmanuel Jeandel

In this paper, we present a completely radical way to investigate the main problem of symbolic dynamics, the conjugacy problem, by proving that this problem actually relates to a n…

quant-ph2021★ 1 cited

Coherent control and distinguishability of quantum channels via PBS-diagrams

Cyril Branciard, Alexandre Clément, Mehdi Mhalla +1

We introduce a graphical language for coherent control of general quantum channels inspired by practical quantum optical setups involving polarising beam splitters (PBS). As standa…

math.CT2021★ 7 cited

When Only Topology Matters

Titouan Carette

Graphical languages are symmetric monoidal categories presented by generators and equations. The string diagrams notation allows to transform numerous axioms into low dimension top…