![]() The main idea is similar to what is done in classical error correction:redundancy is introduced by encoding some number of qubits k into a larger number of physical qubits n. A natural assumption on the errors is thatthey are not adversarial, but are randomly distributed and localized.It was shown by Shor that we can preserve quantum information by using quantumerror correcting codes. Thereare many different interactions which may occur and their nature as well as their strengthdepend on the particular hardware architecture. INTRODUCTION Quantum errors stem from undesired interactions with an outside environment. ∗ † ‡ § ¶ Also at Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada a r X i v. ![]() Additionally, it generates logicalgates not found in the current literature for the ] code, the ] code, and the ]code. We test the procedure bysimulation on classical computers on small quantum codes of four qubits to fifteen qubits and showthat it finds most logical gates known in the current literature. It enablesautomatic discovery of logical gates from analytically designed error correcting codes and can beextended to error correcting codes found by numerical optimizations. This procedure canbe implemented on near-term quantum computers via quantum process tomography. Our technique is to use variational circuits for learn-ing both the logical gates and the physical operations implementing them. We present an automated procedure which generates logical operations givenknown encoding and correcting procedures. Here we study the problem of designing logical operations for quantum errorcorrecting codes. Quantum error correcting codes protect quantum computation from errors caused by decoher-ence and other noise. of Physics & Astronomy, University College London (Dated: December 24, 2019) Computer Science, University College London Rahko Ltd., Finsbury Park, N4 3JP, United Kingdom Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada ¶ Dept. Breuckmann, ‡ and Edward Grantġ, 2, § Dept. MMachine learning logical gates for quantum error correctionġ, 2, ∗ Michael Vasmer, † Nikolas P. Additionally, it generates logical gates not found in the current literature for the ] code, the ] code, and the ] code. We test the procedure by simulation on classical computers on small quantum codes of four qubits to fifteen qubits and show that it finds most logical gates known in the current literature. It enables automatic discovery of logical gates from analytically designed error correcting codes and can be extended to error correcting codes found by numerical optimizations. This procedure can be implemented on near-term quantum computers via quantum process tomography. Our technique is to use variational circuits for learning both the logical gates and the physical operations implementing them. ![]() We present an automated procedure which generates logical operations given known encoding and correcting procedures. Here we study the problem of designing logical operations for quantum error correcting codes. Quantum error correcting codes protect quantum computation from errors caused by decoherence and other noise.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |