PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
July 1, 1996Physical Review Letters991 citations

Perfect Quantum Error Correcting Code

View Full Paper
RLRaymond LaflammeCMCésar MiquelJPJuan Pablo Paz

Key Points

  • To develop a minimal quantum error-correcting code capable of protecting a single qubit of quantum information against arbitrary single-qubit errors.
  • Designed an encoding procedure that distributes quantum information across five qubits using four auxiliary qubits initialized to the zero state.
  • Constructed a reversible quantum circuit functioning as both an encoder and a decoder when operated in reverse.
  • Achieved complete error correction against general single-qubit errors using five qubits, which is the theoretical minimum required.
  • Demonstrated that the decoded qubit state can be fully restored to its original configuration through a simple unitary transformation.

Abstract

We present a quantum error correction code which protects a qubit of information against general one qubit errors. To accomplish this, we encode the original state by distributing quantum information over five qubits, the minimal number required for this task. We describe a circuit which takes the initial state with four extra qubits in the state |0〉 to the encoded state. It can also be converted into a decoder by running it backward. The original state of the encoded qubit can then be restored by a simple unitary transformation.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Laflamme et al. (1996) studied this question.

synapsesocial.com/papers/69d8f12aade63f05b9bedf19https://doi.org/10.1103/physrevlett.77.198
Ask AI
Helpful
Bookmark
Share
View Full Paper