Overcoming the Coherence Time Barrier in Quantum Machine Learning on
Temporal Data
- URL: http://arxiv.org/abs/2312.16165v1
- Date: Tue, 26 Dec 2023 18:54:33 GMT
- Title: Overcoming the Coherence Time Barrier in Quantum Machine Learning on
Temporal Data
- Authors: Fangjun Hu, Saeed A. Khan, Nicholas T. Bronn, Gerasimos Angelatos,
Graham E. Rowlands, Guilhem J. Ribeill, Hakan E. T\"ureci
- Abstract summary: We present a machine learning algorithm, NISQRC, for qubit-based quantum systems.
It enables processing of temporal data over durations unconstrained by the finite coherence times of constituent qubits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The practical implementation of many quantum algorithms known today is
believed to be limited by the coherence time of the executing quantum hardware
and quantum sampling noise. Here we present a machine learning algorithm,
NISQRC, for qubit-based quantum systems that enables processing of temporal
data over durations unconstrained by the finite coherence times of constituent
qubits. NISQRC strikes a balance between input encoding steps and mid-circuit
measurements with reset to endow the quantum system with an appropriate-length
persistent temporal memory to capture the time-domain correlations in the
streaming data. This enables NISQRC to overcome not only limitations imposed by
finite coherence, but also information scrambling or thermalization in
monitored circuits. The latter is believed to prevent known parametric circuit
learning algorithms even in systems with perfect coherence from operating
beyond a finite time period on streaming data. By extending the Volterra Series
analysis of dynamical systems theory to quantum systems, we identify
measurement and reset conditions necessary to endow a monitored quantum circuit
with a finite memory time. To validate our approach, we consider the well-known
channel equalization task to recover a test signal of $N_{ts}$ symbols that is
subject to a noisy and distorting channel. Through experiments on a 7-qubit
quantum processor and numerical simulations we demonstrate that $N_{ts}$ can be
arbitrarily long not limited by the coherence time.
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