Quantum Error Detection Without Using Ancilla Qubits
Abstract
Quantum computers are beset by errors from a variety of sources. Although quantum error correction and detectioncodes have been developed since the 1990s, these codes require mid-circuit measurements in order to operate. In order toavoid these measurements we have developed a new error detection code that only requires state collapses at the end ofthe circuit, which we call no ancilla error detection (NAED). We investigate some of the mathematics behind NAED suchas which codes can detect which errors. We then ran NAED on three separate types of circuits:GreenbergerHorneZeilinger circuits, phase dependent circuits, and a quantum approximate optimization algorithmrunning the max cut problem. In total, we used the IBMQ quantum computers over 325 million times and were able toshow that NAED can be used to improve the performance of the quantum computers. Additionally, we presentgeneralized logical encodings and gates as well as proofs of the fidelity of these gates.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 15, 2022
- Accession Number
- AD1181205
Entities
People
- Nicolas Guerrero
Organizations
- Air Force Institute of Technology