HutchPD/QuantumSuperpositionv1.7.5.1

QuantumSuperposition (.NET Library) — v1.7.5

.NET's most confident way to say "maybe"

QuantumSuperposition lets your variables live in several states at once then collapse them when you finally make up your mind. Think Schrödinger's cat but with fewer ethical questions and more LINQ.

Two main personalities:

1. Generic superposition engine for QuBit<T> and Eigenstates<T>: arithmetic, comparisons and LINQ style queries over many possible values at once with complex weights, sampling, entanglement and non observational operations.
2. Physics flavoured quantum system: QuantumSystem, QuantumGate, QuantumAlgorithms for circuits with Hadamards, CNOTs, QFT and Grover search. Includes gate queues, ASCII circuit visualisation, partial observation and real multi qubit tensor products.

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TL;DR What It Can Do

1. Complex Amplitudes and Real Tensor Products

• QuBit<T> supports complex amplitudes with weight aware equality, sampling and arithmetic

• QuantumMathUtility.TensorProduct builds full multi qubit joint states

• PhysicsQubit: computational basis {0,1} with Bloch sphere constructors and Zero / One helpers

  using System.Numerics; using QuantumSuperposition.Core; using QuantumSuperposition.QuantumSoup; using QuantumSuperposition.Utilities; // Two 1-qubit states in the computational basis var q1 = new QuBit<int>(new[] { 0, 1 }); var q2 = new QuBit<int>(new[] { 0, 1 }); // Full 2-qubit joint state with complex amplitudes var joint = QuantumMathUtility<int>.TensorProduct(q1, q2);

Actual tensor product over basis indices not hand wavy list multiplication.

2. QuantumSystem: Multi Qubit State, Partial Observation, Scheduling

• Track qubits by index and build joint state via tensor products

• Partially observe subsets with PartialObserve

• Schedule gates then process as a queue

  var system = new QuantumSystem(); // Build joint state from individual qubits system.SetFromTensorProduct(true, new QuBit<int>(system, new[] { 0 }), new QuBit<int>(system, new[] { 1 }), new QuBit<int>(system, new[] { 2 })); // Peek only at qubits 0 and 2 var outcome = system.PartialObserve(new[] { 0, 2 });

Note: In the v1.7.5 release we fixed a subtle bug where SetFromTensorProduct created temporary local QuBit<T> objects that weren't registered with the QuantumSystem. That meant collapse propagation, partial observation and entanglement bookkeeping could get confused like a cat chasing two red dots. Now local qubits passed into SetFromTensorProduct are promoted to system-managed QuBit<T> instances (constructed via QuBit(QuantumSystem, int[])) and registered so they keep their indices and entanglement wiring intact.

Also new: you can pass an optional Func<T,int> basis mapper to SetFromTensorProduct for custom domains (enums, tiny structs pretending to be bits). Defaults for int, bool, and any enum via Convert.ToInt32 are provided. Build states your way; just keep them in the computational basis.

Performance tweak: multi-qubit gate application previously grouped basis states via string.Join per state (allocating enough tiny strings to fill a small moon). This now uses structural pattern arrays with a sentinel, eliminating those allocations and speeding up Grover/QFT style circuits under large Hilbert spaces. Functional transforms (Select, SelectMany) also use hand-rolled iterators to cut down transient LINQ allocations when you throw thousands of states at them. Entanglement collapse propagation no longer hard-codes qubit generic types – any future qubit flavour implementing IQuantumReference gets propagation for free. Diagnostics hooks: subscribe to QuantumSystem.GateExecuted and QuantumSystem.GlobalCollapse events for lightweight performance / state tracking.

3. Entanglement Graph, Collapse Propagation, Diagnostics

• Group labels and versioning

• Collapse propagation when any member observed

• Partial collapse staging

• Locking / freezing for critical sections

• Diagnostics: print stats and inspect graph structure

  var system = new QuantumSystem(); var qA = new QuBit<int>(system, new[] { 0 }); var qB = new QuBit<int>(system, new[] { 1 }); qA.WithWeights(new Dictionary<int, Complex>{{0,1.0},{1,1.0}}, true); qB.WithWeights(new Dictionary<int, Complex>{{0,1.0},{1,1.0}}, true); system.Entangle("BellPair_A", qA, qB); system.SetFromTensorProduct(true, qA, qB); // Observe A; B collapses in solidarity var observed = qA.Observe();

Proper entanglement manager with tagging, locking, multi party agreement and guardrails against cross system linking.

4. Gate Abstraction and Circuit Scheduling

• QuantumGate matrices

• QuantumGates built ins: Root NOT, Hadamard, Pauli X, T, T dagger, RX, more

• QuantumGateTools for inversion and comparison

• Compose, invert, schedule, visualise

  var system = new QuantumSystem(); // Queue some gates system.ApplySingleQubitGate(0, QuantumGates.Hadamard, "H"); system.ApplyTwoQubitGate(0, 1, QuantumGates.CNOT.Matrix, "CNOT"); // Visualise circuit before processing var schedule = system.VisualiseGateSchedule(totalQubits: 2); Console.WriteLine(schedule); // Process queue system.ProcessGateQueue();

Composition and inversion:

var rootNot = new QuantumGate(QuantumGates.RootNot); var doubleRoot = rootNot.Then(rootNot); var pauliX = new QuantumGate(QuantumGates.PauliX); var invertedT = QuantumGateTools.InvertGate(QuantumGates.T); var tDagger = new QuantumGate(QuantumGates.T_Dagger);

5. Quantum Algorithms: QFT and Grover Search

• QFT on arbitrary qubit lists

• Grover search with pluggable oracle, multi controlled Z, diffusion operator

  var system = new QuantumSystem(); QuantumAlgorithms.QuantumFourierTransform(system, new[]{0,1,2}); Func<int[], bool> oracle = bits => bits[0] == 1 && bits[1] == 0; QuantumAlgorithms.GroverSearch(system, new[]{0,1}, oracle);

Algorithms use the same gate primitives so circuits are inspectable not mysterious black boxes.

6. Generic Superposition Layer: QuBit<T> and Eigenstates<T>

• Weighted collections of possible values with complex amplitudes

• Preserve original keys while transforming derived values

• LINQ style .Select, .Where, .SelectMany

• p_op and p_func for conditional and functional transforms without collapse

• Weighted sampling (SampleWeighted, MostProbable)

• Collapse replay, mockable collapse, seeded randomness

  var qubit = new QuBit<int>(new[] { 1, 2, 3 }); var doubled = qubit.Select(x => x * 2); var sample = doubled.SampleWeighted();

Ask the multiverse which numbers are prime or which values divide a target without manual loops.

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QuantumRegister

High level abstraction treating one or more qubit indices as a coherent register inside a QuantumSystem. Value view over part of the global wavefunction.

Features:

• Construct from qubits or basis integer

• Construct from explicit amplitude vector

• Collapse only those qubits

• Integer decoding over arbitrary bit ranges

• Sorted index sets and collapse locking

  var system = new QuantumSystem(); var q0 = new QuBit<int>(system, new[]{0}); var q1 = new QuBit<int>(system, new[]{1}); var reg = new QuantumRegister(q0, q1); var encoded = QuantumRegister.FromInt(3, 2, system); var amps = new[]{ Complex.One/Math.Sqrt(2), Complex.One/Math.Sqrt(2) }; var regAmp = QuantumRegister.FromAmplitudes(amps, system); int[] measured = reg.Collapse(); int full = reg.GetValue(); int low3 = reg.GetValue(0, 3);

See docs/QuantumRegister.md for details.

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Quick Start

Installation

dotnet add package QuantumSuperposition

Namespaces

Generic superpositions:

using QuantumSuperposition.Core; using QuantumSuperposition.QuantumSoup; using QuantumSuperposition.Operators;

Physics style gates and systems:

using System.Numerics; using QuantumSuperposition.Systems; using QuantumSuperposition.Utilities;

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Documentation Map

Trailer above. Full movie lives in the docs:

• Functional Operations: docs/FunctionalOps.md
• Entanglement and Collapse: docs/Entanglement.md
• Complex Number Support: docs/ComplexSupport.md
• Logic Gates and QuantumSystem: docs/LogicGates.md
• Quantum Algorithms: docs/QuantumAlgorithms.md
• PhysicsQubit: docs/PhysicsQubit.md
• QuantumRegister: docs/QuantumRegister.md
• Canonical Quantum States: docs/CanonicalStates.md
• Gate Register Sugar: docs/GateRegisterSugar.md
• Gate Catalogue Extensions: docs/GateCatalogue.md
• Equality and AlmostEquals: docs/Equality.md

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Contributing

Bug in the multiverse or a new gate to summon? Open an issue, send a pull request, bring your own obscure quantum joke.

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License

Unlicense: do what you like short of blaming us if you open a portal.

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Contact

Questions, fan mail or a probability amplitude shaped like a duck: support@findonsoftware.com