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Bloch SphereAll functions are free

Bloch Sphere

Rotate state vectors and understand the phase and measurement of single qubits.

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Pure state single bit; spherical coordinates θ/φ initialized, specified gates applied in sequence.

Bloch Sphere: uses and methods

Rotate state vectors and understand the phase and measurement of single qubits.

Applicable scope and calculation boundary

Pure state single bit; spherical coordinates θ/φ initialized, specified gates applied in sequence.

model and reference method

|ψ⟩=cos(θ/2)|0⟩+eⁱφ sin(θ/2)|1⟩。

model version: 1.0.0. The results are used for scientific research, exploration and teaching, please interpret according to the model conditions.

input parameters

polar angle θ(°)
Value range: 0 – 180
Azimuth angle φ(°)
Value range: 0 – 360
gate sequence
Comma separated: H,X,Y,Z,S,T; leave blank to retain the initial state.

How to use

  1. Load the example or enter data that matches the field description.
  2. Confirm units and models, run calculations and check diagnostics.
  3. Export charts, tables or results packages and record model versions.

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FROM SCIENCE TO PRACTICE

commercial application case

Industry Application · Independent Reproduction Example

quantum algorithm team

The quantum software team uses Bloch spheres to discuss the role of revolving doors. The

Public industry reference: IBM Quantum Learning

IBM Quantum provides quantum information and quantum circuit learning resources.

View product or organization original information

on this site

  1. Set angle OR gate
  2. observation state vector
  3. Check measurement probability

Deliverables

single-bit state and probability to help explain gate sequences

needs to be checked before landing

Ideal simulation does not contain hardware noise; entangled subsystems are not necessarily pure states。

case is compiled for public industry purposes, and the reproduction steps are independent examples of this site; it does not mean that the above-mentioned institutions use or endorse this site, nor does it cite customer benefits that have not been publicly verified. The

SEE THE PRINCIPLE IN MOTION

scientific animation demonstration

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recommended by universities and research institutions

Quantum Science

The following is the recommended reading order of this website organized by direction relevance, public research resources and learning portals. The number is the serial number recommended by the editor, not QS, THE or paper measurement ranking; it does not represent the overall strength of the institution.

  1. 01

    University of Waterloo · Institute for Quantum Computing

    Canada

    Quantum computing, algorithms, experiments and quantum information。

    official website link accessibility check: 2026-10-03
  2. 02

    QuTech · TU Delft / TNO

    Netherlands

    Qubits, Quantum Computing and Network Experiments。

    official website link accessibility check: 2026-10-03
  3. 03

    IBM Quantum

    International Separation on the

    Quantum hardware, software stack and open learning resources。

    official website link accessibility check: 2026-10-03

catalog compiled on 2026-10-03. Link accessibility does not equate to verification of the latest papers, admissions, or program status; please check the institution's official website for specific research teams and opportunities.

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