Experimental quantum error correction code#

Liquid-state NMR is a testbed for quantum computing ideas in which one uses the internal states of coupled nuclear spins from a molecule as the qubits in a quantum computer. The first experiments that attempted to perform QEC were performed using room-temperature liquid-state NMR. This chapter deals with experimental implementations whose goal is to implement QEC, and not experiments using passive or open-loop methods, which are covered in Chapter 22.

Experimental quantum error correction code#

Our work demonstrates each key aspect of the 5, 1, 3 code and verifies the viability of experimental realisation of quantum error-correcting codes with superconducting qubits. These experiments are all a long way from demonstrating viable QEC, but demonstrate the proof-of-principle methods that will need to be implemented in the future if quantum computation is to be made viable. Finally, we realise the decoding circuit and recover the input state with an overall fidelity of Formula: see text, in total with 92 gates. There are several reasons why fault-tolerant quantum computation is more important and more complicated than for classical computation. In this chapter we will survey some of the experiments that have been performed to implement QEC. Answer: (a) The probability that two bits are faulty is given, using the binomial probability distribution, by, and the probability of three faulty bits is P3 p3. Further, even if it can be implemented in small laboratory experiments, these experiments need not lead to a technology that is scalable to large quantum computers (where large is defined as “big enough to contemporaneously outperform the best classical computer on some problem”). Quantum error correction (QEC) is all for naught if it cannot be implemented experimentally in the laboratory.