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Q26 / Beyond qubits / direction

Can spin protocols be translated into bosonic or fermionic mode models?

Construct explicit encodings and compare preparation and measurement costs under specified particle-number and mode constraints.

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Working mathematical formulation

Give an explicit encoding between a distinguishable-spin model and a bosonic or fermionic mode model, with specified particle number, accessible modes, and operations. Determine which spin-sector statements translate and how preparation and measurement costs change.

Why this is interesting

Antisymmetry in the spin state of labeled qubits is not itself fermionic statistics. A faithful dictionary could nevertheless reveal useful algorithms and constraints.

A place to start

Translate a four-spin recoupling experiment into one concrete mode encoding and identify any additional occupation or superselection constraints.

Related work

These works provide context and established results. They need not be the origin of this exact formulation.

  1. Permutational Quantum Computing ↗

    Stephen P. Jordan · 2009

    Read the relevance note
  2. Classical and quantum communication without a shared reference frame ↗

    Stephen D. Bartlett, Terry Rudolph, Robert W. Spekkens · 2003

    Read the relevance note

Related questions

Q24 / QuestionWhat changes with higher-arity total-spin measurements?Compare the computational power, depth, and adaptivity of pairwise STP with measurements on larger subsets, including the cost of reproducing both their outcomes and the states they leave afterward.Q25 / QuestionWhich irrep measurements are useful for qudits?For larger local dimension, exchange symmetry and physical spin no longer identify every sector in the same way.

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