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A Passive QRAM Query Used Polylogarithmic Energy

A time-independent Hamiltonian blueprint targets logarithmic query energy and log-squared runtime.

Published Updated Story ID: mp-2026-10-05-007
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Summary

A time-independent Hamiltonian blueprint targets logarithmic query energy and log-squared runtime.

The proposed QRAM construction stores N memory bits behind an n-qubit address and evolves a pre-manufactured, time-independent four-local Hamiltonian. The authors prove O(log N) energy and O(log-squared N) runtime per query, with O(N) Hamiltonian terms and at most four terms touching any qubit. It is a feasibility blueprint, not an experimental memory device.

Why it matters

A time-independent Hamiltonian blueprint targets logarithmic query energy and log-squared runtime.

Limits and context

  • It is a feasibility blueprint, not an experimental memory device.

Key claims

  1. A time-independent Hamiltonian blueprint targets logarithmic query energy and log-squared runtime.

    Qualification: It is a feasibility blueprint, not an experimental memory device.

    Evidence: source-2026-10-05-007

Sources

  1. arXiv preprint 2610.03700arXiv · primary research

Corrections

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