Qubit construction in 6D SCFTs

On deformations of 2d SCFTs

Motivated by the representation of the super Virasoro constraints as generalized Dirac-Kähler constraints (d±d†) |ψ〉 = 0 on loop space, examples of the most general continuous deformations d → e−W d e are considered which preserve the superconformal algebra at the level of Poisson brackets. The deformations which induce the massless NS and NS-NS backgrounds are exhibited. A further 2-form backg...

Minimum construction of two-qubit quantum operations.

Optimal construction of quantum operations is a fundamental problem in the realization of quantum computation. We here introduce a newly discovered quantum gate, B, that can implement any arbitrary two-qubit quantum operation with minimal number of both two- and single-qubit gates. We show this by giving an analytic circuit that implements a generic nonlocal two-qubit operation from just two ap...

2d SCFTs from M2-branes

We consider the low-energy limit of the two-dimensional theory on k M2-branes suspended between a straight M5-brane and a curved M5-brane. We argue that it is described by an N=(2, 2) supersymmetric gauge theory with no matter fields but with a non-trivial twisted superpotential, and also by an N=(2, 2) supersymmetric Landau-Ginzburg model, such that the (twisted) superpotentials are determined...

Recurrent construction of optimal entanglement witnesses for 2N-qubit systems

Two-qubit quantum gates construction via unitary factorization

Quantum information and quantum computation are emerging research areas based on the properties of quantum resources, such as superposition and entanglement. In the quantum gate array version, the use of convenient and proper gates is essential. While these gates adopt theoretically convenient forms to reproduce computational algorithms, their design and feasibility depend on specific quantum s...