Corrigendum to “Expressiveness of matchgates”
نویسندگان
چکیده
منابع مشابه
Matchgates Revisited
We study a collection of concepts and theorems that laid the foundation of matchgate computation. This includes the signature theory of planar matchgates, and the parallel theory of characters of not necessarily planar matchgates. Our aim is to present a unified and, whenever possible, simplified account of this challenging theory. Our results include: (1) A direct proof that Matchgate Identiti...
متن کامل.1 Valiant's Matchgates
Recall that last time, we saw that there were two fundamentally different kinds of particles: “bosons,” which were force particles like photons; and “fermions,” which were matter particles like quarks. In a system of identical non-interacting particles, we calculate the amplitudes for states of the system in future configurations in fundamentally different ways for these two kinds of particles....
متن کاملHolographic algorithms without matchgates
The theory of holographic algorithms, which are polynomial time algorithms for certain combinatorial counting problems, yields insight into the hierarchy of complexity classes. In particular, the theory produces algebraic tests for a problem to be in the class P. In this article we streamline the implementation of holographic algorithms by eliminating one of the steps in the construction proced...
متن کاملHolographic algorithms beyond matchgates
Holographic algorithms were first introduced by Valiant as a new methodology to derive polynomial time algorithms. The algorithms introduced by Valiant are based on matchgates, which are intrinsically for problems over planar structures. In this paper we introduce two new families of holographic algorithms. These algorithms work over general, i.e., not necessarily planar, graphs. Instead of mat...
متن کاملMatchgates and classical simulation of quantum circuits
Let G(A,B) denote the 2-qubit gate which acts as the 1-qubit SU(2) gates A and B in the even and odd parity subspaces respectively, of two qubits. Using a Clifford algebra formalism we show that arbitrary uniform families of circuits of these gates, restricted to act only on nearest neighbour (n.n.) qubit lines, can be classically efficiently simulated. This reproduces a result originally prove...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2003
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(02)00858-7