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Why Quantum Theory?
Lucien Hardy
The usual formulation of quantum theory is rather abstract. In recent work I have shown that we can, nevertheless, obtain quantum theory from five reasonable axioms. Four of these…
Substituting a qubit for an arbitrarily large number of classical bits
Ernesto F. Galvao, Lucien Hardy
We show that a qubit can be used to substitute for an arbitrarily large number of classical bits. We consider a physical system S interacting locally with a classical field phi(x)…
Nonlinear Qubit Transformations
Lucien Hardy, David D. Song
We generalise our previous results of universal linear manipulations [Phys. Rev. A63, 032304 (2001)] to investigate three types of nonlinear qubit transformations using measurement…
Quantum Theory From Five Reasonable Axioms
Lucien Hardy
The usual formulation of quantum theory is based on rather obscure axioms (employing complex Hilbert spaces, Hermitean operators, and the trace rule for calculating probabilities).…