Decomposing large unitaries into multimode devices of arbitrary size

Christian Arends, Lasse Wolf, Jasmin Meinecke, Sonja Barkhofen, Tobias Weich, Tim Bartley

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisLetterpeer review


Decomposing complex unitary evolution into a series of constituent components is a cornerstone of practical quantum information processing. While the decomposition of an n×n unitary into a series of 2×2 subunitaries is well established (i.e. beamsplitters and phase shifters in linear optics), we show how this decomposition can be generalised into a series of m×m multimode devices, where m>2. If the cost associated with building each m×m multimode device is less than constructing with m(m−1)/2 individual 2×2 devices, we show that the decomposition of large unitaries into m×m submatrices is more resource efficient and exhibits a higher tolerance to errors, than its 2×2 counterpart. This allows larger-scale unitaries to be constructed with lower errors, which is necessary for various tasks, not least Boson sampling, the quantum Fourier transform and quantum simulations.
Tidsskrift Physical Review Research
Antal sider6
StatusUdgivet - feb. 2024


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