NHS Quantum
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NHS first · then the instruments

The 10 Year Health Plan, read as a problem set

I am an NHS clinician. This section starts from the service, not from the hardware. The Plan commits England to three shifts; each one implies a question about allocation, prediction or simulation. Some of those questions are genuinely combinatorial. Most are not, and saying so is the point of the page.

Where a question is combinatorial, it is stated formally, encoded, and run on the Selene emulator against a classical baseline. Every result on this site is an emulator result on synthetic data, and on every problem so far the classical solver wins.

The three shifts

Two settings

The shifts land in two places a patient recognises: the surgery and the hospital. Each page separates the problems a solver could touch from the ones that are really about capacity, workforce and social care.

The flagship problem

One problem gets the full treatment: delayed discharge. It sits squarely in the third shift, it is measurably the largest source of lost bed capacity, and it is the one place where the structure is honestly a constrained assignment problem rather than a staffing shortfall dressed up as one.

Sources

Arun Nadarasa · NHS clinician · research notebook, not clinical guidance