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Title: Extending the Frontier of Quantum Computers with Qutrits

Journal Article · · IEEE Micro
 [1];  [1];  [1];  [2];  [3];  [1]
  1. Univ. of Chicago, IL (United States)
  2. Georgia Inst. of Technology, Atlanta, GA (United States)
  3. Duke Univ., Durham, NC (United States)

Here, we advocate for a fundamentally different way to perform quantum computation by using three-level qutrits instead of qubits. In particular, we substantially reduce the resource requirements of quantum computations by exploiting a third state for temporary variables (ancilla) in quantum circuits. Past work with qutrits has demonstrated only constant factor improvements, owing to the log2 (3) binary-to-ternary compression factor. We present a novel technique using qutrits to achieve a logarithmic runtime decomposition of the Generalized Toffoli gate using no ancilla - an exponential improvement over the best qubit-only equivalent. Our approach features a 70× improvement in total two-qudit gate count over the qubit-only decomposition. This results in improvements for important algorithms for arithmetic and QRAM. Simulation results under realistic noise models indicate over 90% mean reliability (fidelity) for our circuit, versus under 30% for the qubit-only baseline. These results suggest that qutrits offer a promising path toward extending the frontier of quantum computers.

Research Organization:
Univ. of Chicago, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Engineering & Technology; National Science Foundation (NSF)
Grant/Contract Number:
SC0020289; SC0020331; CCF-1730449/1832377; PHY-1818914
OSTI ID:
1674937
Alternate ID(s):
OSTI ID: 1865687
Journal Information:
IEEE Micro, Vol. 40, Issue 3; ISSN 0272-1732
Publisher:
IEEECopyright Statement
Country of Publication:
United States
Language:
English

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