  Inspired by classical polar codes, whose coding rate can asymptotically
achieve the Shannon capacity, researchers are trying to find its analogue in
quantum information field, which are called quantum polar codes. However, no
one has designed a quantum polar coding scheme which applies to quantum
computing yet. There are two intuitions in previous research. The first is that
directly converting classical polar coding circuits to quantum ones will
produce polarization phenomenon of pure quantum channel, which has been proved
in our previous work. The second is that based on this quantum polarization
phenomenon one can design a quantum polar coding scheme that applies to quantum
computing. In this paper, we try to follow the second intuition and propose
quantum polar stabilizer codes for quantum computing. Unfortunately, simulation
results show that quantum polar stabilize codes based on directly converting
classical polar coding circuits to quantum ones don't work for quantum
computing.

Quantum Physics