Representational separation between unitary and channel quantum generative models via shared classical randomness at shallow depth
Near-term quantum hardware limits circuit depth and often imposes geometrically local connectivity for quantum generative models, restricting the output distributions accessible to shallow unitary Born models. Introducing stochasticity into a unitary quantum Born model can improve the empirical generative performance of the resulting channel model and, for a restricted small-scale architecture, has been proven to represent a strictly larger family of distributions than its unitary counterpart. However, whether such randomness provides a provable separation at fixed shallow depth for arbitrarily large systems has remained open. Here, we show that shared classical randomness, a comparativel...
| Authors | Arunava Majumder, Marius Krumm, Hendrik Poulsen Nautrup et al. |
|---|---|
| Primary category | quant-ph |
| Published | 5 August 2026 |
| Last updated at source | 5 August 2026 |
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