Noah Shutty

Viewnitary

Unitary matrices produced by familiar quantum circuits, shown as static images.

Encoding

fixed absolute scale

Each pixel represents z = ⟨y|U|x⟩, or a state amplitude where noted. Output states run down the rows and input states across the columns.

For z = reiθ, phase sets the HSV hue to θ / 2π, while magnitude sets brightness to 0.9r1/6 at saturation 8/9; zero is black. Basis states run lexicographically from |00…0⟩ to |11…1⟩, with the first qubit most significant. Images share one scale and are not normalized independently.

01

CNOT gates

4 qubits · 16 × 16

Matrix visualization of CNOT gates on four qubits
02

Hadamard gates

1 and 5 qubits · 2 × 2 and 32 × 32

Matrix visualization of a Hadamard gate Matrix visualization of five Hadamard gates
03

S gate on the first qubit

2 qubits · 4 × 4

Matrix visualization of a phase gate on the first qubit
04

Random Clifford circuit

4 qubits · 16 × 16

Matrix visualization of a random Clifford circuit
05

T gate on the first qubit

4 qubits · 16 × 16

Matrix visualization of a T gate on the first qubit
06

Random Clifford + T circuit

4 qubits · 16 × 16

Matrix visualization of a random Clifford and T circuit
07

Haar-random unitaries

2, 4, and 5 qubits · 4 × 4, 16 × 16, and 32 × 32

Haar-random unitary on two qubits Haar-random unitary on four qubits Haar-random unitary on five qubits
08

Grover search

4 qubits · 16 × 16 operator and 16 × 1 state

Operators during Grover search Quantum state during Grover search
09

Quantum Fourier transform

4 and 8 qubits · 16 × 16 and 256 × 256, plus an 8 × 8 detail

Quantum Fourier transform on four qubits Quantum Fourier transform on eight qubits Detail from the quantum Fourier transform on eight qubits