Measurement-free quantum error correction optimized for biased noise

JuSER (Forschungszentrum Jülich)

Abstract

In this paper, we derive optimized measurement-free protocols for quantum error correction and the implementation of a universal gate set optimized for an error model that is noise biased . The noise bias is adapted for neutral atom platforms, where two- and multi-qubit gates are realized with Rydberg interactions and are thus expected to be the dominating source of noise. Careful design of the gates allows to further reduce the noise model to Pauli-Z errors. In addition, the presented circuits are robust to arbitrary single-qubit gate errors, and we demonstrate that the break-even point can be significantly improved compared to fully fault-tolerant measurement-free schemes. The obtained logical qubits with their suppressed error rates on logical gate operations can then be used as building blocks in a first step of error correction in order to push the effective error rates below the threshold of a fully fault-tolerant and scalable quantum error correction scheme.

Authors 7

1. Katharina Brechtelsbauer

   Center for Integrated Quantum Science and Technology

   Affiliation as printed

   Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology , University of Stuttgart , Pfaffenwaldring 57 , 70569 Stuttgart , Germany

2. Friederike Butt Aachen Institute for Quantum Information

   Forschungszentrum Jülich · RWTH Aachen University

   Affiliation as printed

   Institute for Quantum Information , RWTH Aachen University , Aachen , Germany

   Institute for Theoretical Nanoelectronics (PGI-2) , Forschungszentrum Jülich , Jülich , Germany

3. David F. Locher Aachen Institute for Quantum Information

   Forschungszentrum Jülich · RWTH Aachen University

   Affiliation as printed

   Institute for Quantum Information , RWTH Aachen University , Aachen , Germany

   Institute for Theoretical Nanoelectronics (PGI-2) , Forschungszentrum Jülich , Jülich , Germany

4. Santiago Quintero

   Center for Integrated Quantum Science and Technology

   Affiliation as printed

   Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology , University of Stuttgart , Pfaffenwaldring 57 , 70569 Stuttgart , Germany

5. Sebastian Weber

   Center for Integrated Quantum Science and Technology

   Affiliation as printed

   Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology , University of Stuttgart , Pfaffenwaldring 57 , 70569 Stuttgart , Germany

6. Markus Müller Aachen Institute for Quantum Information

   Forschungszentrum Jülich · RWTH Aachen University

   Affiliation as printed

   Institute for Quantum Information , RWTH Aachen University , Aachen , Germany

   Institute for Theoretical Nanoelectronics (PGI-2) , Forschungszentrum Jülich , Jülich , Germany

7. Hans Peter Büchler

   Center for Integrated Quantum Science and Technology

   Affiliation as printed

   Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology , University of Stuttgart , Pfaffenwaldring 57 , 70569 Stuttgart , Germany