Three-qubit pure-state canonical forms

By Antonio Acín, A. Andrianov, E. Jané, R. Tarrach. 2000

133 citations recorded by the source corpus.

In this paper we analyse the canonical forms into which any pure three-qubit state can be cast. The minimal forms, i.e. the ones with the minimal number of product states built from local bases, are also presented and lead to a complete classification of pure three-qubit states. This classification is related to the values of the polynomial invariants under local unitary transformations by a one-to-one correspondence.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/6dcde10c5957080dbc0a89f6778acc43c3b8725a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. D. Dahanayake
2. W. Rubens
3. H. Ebrahim
4. M. Duff
5. L. Borsten

Citations in the corpus

• Black Holes, Qubits and Octonions (2008, background): “74) A more complicated example is a five-parameter state retaining the 0, 4, 5, 6, 7 components [115].”
• Programmable quantum simulations of spin systems with trapped ions (2019, unknown): “By tuning the system to have either ferromagnetic (FM) and anti-ferromagnetic (AFM) ground states, two different types of magnetic order were indeed measured, paralleling the two different classes of entanglement known to exist with exactly three spins (Acı́n et al., 2001).”