Quantum reservoir filters are injective if the state update is input-invertible at reachable states, reducible to a rank condition in affine quantum systems.
Effects of dissipation in reservoir computing using a spin qubit array
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abstract
Reservoir computing (RC) is one of the hottest research topic as an application of many physical devices because the device characteristics can be used directly in computing sequences. Quantum RC is also a promising candidate for application in small-number qubit systems. Here, we propose a quantum RC based on the spin qubit system that reflects the status of the spin qubits in experiments comprising a one-dimensional qubit array. Spin qubits are coupled via the Heisenberg interaction, and data sequences are inputted to one of the spin qubits via pulsed rotations. By introducing dissipation, we obtained a relatively good performance in the quantum RC.
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Input-dependence in quantum reservoir computing
Quantum reservoir filters are injective if the state update is input-invertible at reachable states, reducible to a rank condition in affine quantum systems.