Constant depth code deformations in the parity architecture
A Messinger, M Fellner… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
2023 IEEE International Conference on Quantum Computing and …, 2023•ieeexplore.ieee.org
We present a protocol to encode and decode arbitrary quantum states in the parity
architecture with constant circuit depth using measurements, local nearest-neighbor and
single-qubit operations only. While this procedure typically requires a quadratic overhead of
simultaneous qubit measurements, it allows for a simple and low-depth implementation of
logical multi-qubit gates in the parity encoding via code deformation. We discuss how such
encoding and decoding schemes can be used to flexibly change the size and shape of the …
architecture with constant circuit depth using measurements, local nearest-neighbor and
single-qubit operations only. While this procedure typically requires a quadratic overhead of
simultaneous qubit measurements, it allows for a simple and low-depth implementation of
logical multi-qubit gates in the parity encoding via code deformation. We discuss how such
encoding and decoding schemes can be used to flexibly change the size and shape of the …
We present a protocol to encode and decode arbitrary quantum states in the parity architecture with constant circuit depth using measurements, local nearest-neighbor and single-qubit operations only. While this procedure typically requires a quadratic overhead of simultaneous qubit measurements, it allows for a simple and low-depth implementation of logical multi-qubit gates in the parity encoding via code deformation. We discuss how such encoding and decoding schemes can be used to flexibly change the size and shape of the underlying code to enable a more efficient implementation of quantum gates or algorithms. We apply the new findings to the QAOA which leads to a constant depth implementation using local gates at the same optimization performance as the standard, potentially non-local, QAOA approach without the parity encoding. Furthermore, we show that our method can reduce the depth of implementing the quantum Fourier transform by a factor of two when allowing measurements.
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