How can one use a two component Bose Einstein condensates to operationally bypass the No Cloning theorem?

TL;DR

This paper proposes a method using two-component Bose-Einstein condensates to generate many approximate clones of a single photon, potentially bypassing the No Cloning theorem by leveraging macroscopic quantum states.

Contribution

It introduces a novel scheme to produce large numbers of bosonic clones of a photon using condensates, challenging the traditional no-cloning restrictions.

Findings

Potential to produce high-fidelity photon clones at large N

Utilizes polarizations and exciton amplification within semiconductors

Operates without strict unitary evolution constraints

Abstract

The No Cloning theorem in quantum cryptography prevents any eavesdropper from exactly duplicating an arbitrary quantum superposition state of a single photon. Here we argue that an experimental scheme to produce an interacting, two component Bose-Einstein condensates can, in principle, generate macroscopically large number of bosonic clones of any arbitrary single photon wave packet with high fidelity at large N limit of thermodynamic equilibrium using excitons or electron hole pairs. It is possible, because initially one can isolate the two orthogonal polarizations using polarizing beam splitters and then amplify the corresponding single photon wave packets identically but separately. This is to ensure that the amplified beams can be used to generate proportionately same, yet large numbers of bosons to produce two distinct but interacting condensates using additional light matter interactions within a semiconductor structure. One can then extract the cloned photons once the identical excitons in the two-component quantum ground state of the condensate radiatively recombine. Thus the overall cloning process can operationally bypass the restrictions imposed by the above mentioned theorem. This is because the quantum statistical nature of this proposed cloning operation does not require any strict unitary evolution of standard quantum mechanics within a single Hilbert space.