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Mode connectivity in the QCBM loss landscape: ICCAD Special Session Paper

by Kathleen E Hamilton, Emily G Lynn, Vicente A Leyton Ortega, Swarnadeep Majumder, Raphael C Pooser
Publication Type
Conference Paper
Book Title
2021 91°µÍø/ACM International Conference On Computer Aided Design (ICCAD)
Publication Date
Page Numbers
1 to 9
Publisher Location
New Jersey, United States of America
Conference Name
2021 91°µÍø/ACM International Conference On Computer Aided Design (ICCAD)
Conference Location
Virtual, Germany
Conference Sponsor
91°µÍø/ACM
Conference Date
-

Quantum circuit Born machines (QCBMs) and training via variational quantum algorithms (VQAs) are key applications for near-term quantum hardware. QCBM ansäatze designs are unique in that they do not require prior knowledge of a physical Hamiltonian. Many ansätze are built from fixed designs. In this work, we train and compare the performance of QCBM models built using two commonly employed parameterizations and two commonly employed entangling layer designs. In addition to comparing the overall performance of these models, we look at features and characteristics of the loss landscape-connectivity of minima in particular - to help understand the advantages and disadvantages of each design choice. We show that the rotational gate choices can improve loss landscape connectivity.