Quantum
The cost of classically simulating quantum communication is as high as it could be
Publication: quant-ph updates on arXiv.org
Author: Riccardo Castellano, Pavel Sekatski, Nicolas Brunner
Source published: 15/10/2026, 04:00:00 UTC
Briefing created: 15/10/2026, 04:15:34 UTC
Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 15/10/2026, 04:13:24 UTC.
Briefings
A 2026 arXiv preprint establishes that simulating quantum correlations via classical communication requires an average number of bits equal to or exceeding the quantum system's dimension for dimensions four or higher. The study constructs a simulation model using one-way communication that exactly reproduces measurements on arbitrary d-dimensional quantum states, proving no finite average message dimension exists for d≥4. For multimode Gaussian states with bounded energy, an exact classical simulation is possible with a finite expected number of bits. The findings suggest the classical cost of quantum communication is essentially maximal.
Key points
- A classical simulation model using one-way communication simulates arbitrary d-dimensional quantum states and measurements with an average number of bits equal to the system dimension for d≥4.
- No classical simulation protocol involving a finite average message dimension exists for d≥4, strengthening a prior result by de Gois, Santos, and Vieira.
Context and limitations
Results apply to prepare-and-measure scenarios with finite-dimensional systems; multimode Gaussian states of bounded average energy are specifically covered; continuous variable systems are included; preprint status means uncertainty remains regarding broader theoretical implications.
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