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 thatâ€¦ (More)

In this article, we build a framework allowing for a systematic investigation of the fundamental issue: â€œWhich quantum states serve as universal resources for measurement-based (one-way) quantumâ€¦ (More)

Matchgates are an especially multiflorous class of two-qubit nearest neighbour quantum gates, defined by a set of algebraic constraints. They occur for example in the theory of perfect matchings ofâ€¦ (More)

Quantum computers would be more powerful than their classical counterparts [1,2]. Suppose an oracle function f(x) with x âˆˆ {0, 1}n is given such that f(w) = 1 for an unknown single item w out of N(:=â€¦ (More)

In Valiantâ€™s matchgate theory, 2-input 2-output matchgates are 4 Ã— 4 matrices that satisfy ten so-called matchgate identities. We prove that the set of all such matchgates (including non-unitary andâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2015

We study an autonomous quantum system which exhibits refrigeration under an information-work trade-off like a Maxwell demon. The system becomes correlated as a single "demon" qubit interactsâ€¦ (More)

We investigate entanglement naturally present in the 1D topologically ordered phase protected with the on-site symmetry group of an octahedron as a potential resource for teleportation-based quantumâ€¦ (More)

We study the sampling complexity of a probability distribution associated with an ensemble of identical noninteracting bosons undergoing a quantum random walk on a one-dimensional lattice. Withâ€¦ (More)

Stochastic local operations and classical communication (SLOCC), also called local filtering operations, are a convenient, useful set of quantum operations in grasping essential properties ofâ€¦ (More)