PIRSA:06010021

Sausages and Quantum Errors: when it's better not to see how they're made

Smith, G. (2006). Sausages and Quantum Errors: when it's better not to see how they're made. Perimeter Institute. https://pirsa.org/06010021

Smith, Graeme. Sausages and Quantum Errors: when it's better not to see how they're made. Perimeter Institute, Jan. 30, 2006, https://pirsa.org/06010021 

          @misc{ pirsa_PIRSA:06010021,
            doi = {10.48660/06010021},
            url = {https://pirsa.org/06010021},
            author = {Smith, Graeme},
            keywords = {Quantum Information},
            language = {en},
            title = {Sausages and Quantum Errors: when it{\textquoteright}s better not to see how they{\textquoteright}re made},
            publisher = {Perimeter Institute},
            year = {2006},
            month = {jan},
            note = {PIRSA:06010021 see, \url{https://pirsa.org}}
          }

Graeme Smith Institute for Quantum Computing (IQC)

DOI 10.48660/06010021
Collection
Talk Type Scientific Series
Subject

Abstract

I will discuss the design of degenerate quantum error correcting codes for an arbitrary Pauli channel. At noise levels slightly beyond those for which a random stabilizer code does not allow high fidelity transmission with a nonzero rate, our codes usually have a rate which is strictly positive. In fact, there exist Pauli channels for which our codes outperform a random stabilizer code whenever the random coding rate is less than 0.04, which is a couple of orders of magnitude larger than the previous examples of this effect. I'll also present a fairly straightforward explanation of why these codes work and discuss how their performance scales with block size and what this scaling suggests even better codes will look like.