V1 quantum simulation

ARCHIVED V1 — HISTORICAL RECORDS ONLY

This specification describes the former discovery experiment. New generation is closed: POST /api/mine returns HTTP 401 without authentication and HTTP 410 for authenticated requests. Existing records and their deterministic verification rules are retained. The current continuous run has no discovery drop, collectible, NFT or token reward. Read the current run specification.

The circuit actually executed

QEE v1 used classical simulation of quantum circuits. It did not execute workloads on physical quantum hardware.

Q16-PARITY-001 initializes 16 qubits in |0⟩. The implementation stores 65,536 real-valued amplitudes in a Float64Array, applies Hadamard gates to q0 through q14, then applies CNOT from each of those qubits to q15.

q0  |0⟩ ─H─●──────────────────────────── M
q1  |0⟩ ─H─│─●────────────────────────── M
q2  |0⟩ ─H─│─│─●──────────────────────── M
           │ │ │     …
q14 |0⟩ ─H─│─│─│─────────────────────●── M
q15 |0⟩ ───⊕─⊕─⊕─────────────────────⊕── M

H(q0)…H(q14), CX(q0,q15)…CX(q14,q15)
15 Hadamard + 15 CNOT gates / depth 16

Before measurement, q15 stores the XOR parity of q0…q14. Exactly 32,768 even-parity basis states have nonzero amplitude. Each has theoretical probability 1/32,768. Odd-parity states have probability zero.

Sampling and displayed state

The engine samples 2,048 independently prepared shots from squared amplitudes using a cumulative distribution and server-derived random values. The first shot becomes the displayed 16-bit measurement. Strings are ordered q15…q0; array indices use q0 as the least significant bit.

What entropy means

For each qubit, p is the observed fraction of 1s across all shots. The displayed value is the mean of −p log₂p − (1−p) log₂(1−p) over the 16 qubits, scaled to a percentage in the UI. It is marginal Shannon entropy, not joint entropy. The ideal joint entropy is 15 bits because of the parity constraint.

A value near 100% is not evidence of 16 independent bits, physical quantum origin, quantum advantage, or cryptographic fairness. The particles are procedural artwork; they are not a plot of all measured state-vector amplitudes.