WORKSPACE/CIRCUITS
HARDWARE UNCHECKED
◆ THE QUANTUM OBSERVATORY EXPERIMENT 001

Look beyond
the bars.

Two circuits can look the same in ordinary measurements. The difference might be hiding in their phase.

↓   SCROLL TO EXPLOREDESIGNED FOR DISCOVERY
01 PROCESSOR MODEL
Illustrative hardware model
◆ YOUR EXPERIMENT A / B COMPARISON

From circuit to insight.

Build your comparison, choose a measurement plan, and follow the evidence.

PHASESCOPE / QUANTUM CIRCUIT COMPARISON

One gate changed. Can the measurements tell?

Two Bell-state circuits on IBM Quantum hardware. The candidate adds a single Z gate to q₀.

STEP 01 / THE INPUTS

Meet your circuits.

Start with two preparations. PhaseScope adds the measurements later.

OPENQASM 2 · TWO QUBITS
A / REFERENCE

The baseline

A

Enter a preparation to see its gates.

NO CIRCUIT LOADED
B / CANDIDATE

The comparison

B

Enter a preparation to see its gates.

NO CIRCUIT LOADED
✳
A small change, a different question.

PhaseScope validates each preparation locally and draws the gates in source order.

STEP 02 / BEFORE YOU RUN

A closer look takes nine views.

Measure both preparations in each local Pauli basis. Settings are labeled q₁ ⊗ q₀.

MEASUREMENT PLAN
THE MEASUREMENT GRID

Nine perspectives. One comparison.

SELECT A BASIS TO INSPECT
ZZ
The ordinary measurement view

Measures both qubits in the computational basis. It can miss differences in relative phase.

STEP 03 / HARDWARE RUN

Ready when you are.

Real hardware results are the foundation of every comparison.

HARDWARE UNCHECKED
IBM QUANTUM

Compile on a physical pair

Check access to the server’s configured processor and select a pair. Compilation verifies that every measurement stays on those qubits.

PERSISTED EXPERIMENTS

Run history

STEP 04 / THE EVIDENCE

See what the bars miss.

Inspect counts, shot-noise intervals, and reconstructed matrices from the selected run.

NO COMPLETED HARDWARE RESULTS
MEASUREMENT BASIS

ZZ / ordinary view

◌No counts to display

Distributions will appear here after a hardware run.

00011011
How these counts become a correlation

Matching bits (00, 11) count as +1. Different bits (01, 10) count as −1. Divide their difference by the total shots.

Basis labels read q₁ ⊗ q₀. The rotations are for the logical circuits before hardware transpilation. IBM guide to Pauli measurements

REFERENCE A CANDIDATE BRETURNED SHOTS: —
HARDWARE COMPARISON

Where did the circuits differ?

Each dot shows the measured change from A to B. The line shows its 95% shot-noise interval. If the interval includes zero, the difference is unresolved at this shot count.

    PHASE LAB · IDEAL MODEL

    How phase changes the measurements

    Start with (|00⟩ + eiφ|11⟩) / √2. The dial shows the angle of the |11⟩ amplitude relative to |00⟩. The added Z gate moves the ideal state from 0° to 180°.

    0°
    Predicted correlations
    BasisIdeal valueMatching bits
    ZZ
    XX
    YY
    XY / YX

    In ZZ, the ideal probabilities of 00 and 11 are 50% each at every angle. XX and YY respond to cos φ. XY and YX respond to sin φ.

    Measured endpoints · ibm_fez

    These are fixed results for the two prepared circuits. The dial changes the ideal model above.

    BasisReference ACandidate B
    RECONSTRUCTED DENSITY MATRICES

    Look between the outcomes.

    Estimated entries appear after all required measurements are complete.

    MEASURED COHERENCE
    The coherence changes sign

    The real part of ⟨00|ρ|11⟩ equals (XX − YY) / 4 in this reconstruction.

    A / REFERENCE
    B / CANDIDATE
    REFERENCE A / REAL
    CANDIDATE B / REAL
    B − A / REAL

    Select an entry to inspect its role. Basis order: |q₁ q₀⟩ = 00, 01, 10, 11.
    STEP 05 / TAKE IT WITH YOU

    Keep the evidence.

    Preserve the details behind your comparison, not just the picture.

    EXPERIMENT PACKET
    ↗
    NOT YET AVAILABLE

    Your experiment packet lives here.

    Select a finished run to download its evidence packet.

    Verify the evidence locally

    Extract the ZIP, install NumPy, then run python verify_evidence.py phasescope-evidence.zip against the downloaded file.

    Published ZIP SHA-256

    The verifier recomputes the analysis. IBM provenance requires an independent source.

    PhaseScope

    QUANTUM CIRCUIT COMPARISON

    Same histogram.
    Different phase.

    Compare two quantum circuits across nine measurement bases.

    02 CIRCUITS 09 BASES ILLUSTRATIVE PROCESSOR MODEL
    ABOUT THE OBSERVATORY

    See beyond the bars.

    PhaseScope compares two-qubit state preparations. Ordinary measurement distributions can miss phase-sensitive differences.

    This build validates preparations, previews measurements, and compiles for a configured IBM Quantum processor. The reference values shown are analytic expectations.