FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 5, PAGES 69-73

**On the geometry of two qubits**

T. E. Krenkel

Abstract

View as HTML
View as gif image

Two qubits are considered as a spinor in the four-dimensional
complex Hilbert space that describes the state of a four-level
quantum system.
This system is basic for quantum computation and is described by the
generalized Pauli equation including the generalized Pauli matrices.
The generalized Pauli matrices constitute the finite Pauli
group $P$_{2} for two qubits of order $26$ and
nilpotency class $2$.
It is proved that the commutation relation for the Pauli
group $P$_{2} and the incidence relation in an Hadamard
$2$-$(15,7,3)$ design give rise
to equivalent incidence matrices.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k115/k11504h.htm

Last modified: October 18, 2012