LLvlN-Quantum

LLvlN-Quantum is a conceptual variant of LLvlN that introduces quantum computing features and quantum-themed instructions while keeping the original whimsical food/cooking metaphor. LLvlN-Quantum is designed as an esolang for educational or experimental purposes—not as a realistic quantum computer simulator but as a playful exploration of quantum programming principles within the LLvlN framework.

Overview

LLvlN-Quantum extends LLvlN with:

• Quantum "qubit" registers: QSOUP, QCAKE, QMEAT, QFISH
• Quantum gate instructions (QSET, QHAD, QFLIP, QCNOT, QPHASE, QROT)
• Superposition and entanglement for registers
• Quantum measurement (QMEASURE) producing classical bits
• Probabilistic control flow (QSPICE)
• Quantum stack operations (QBAKE, QCHOP)
• Classical LLvlN instructions (for mixing classical/quantum code)

The language is intended for illustrating quantum logic and probabilistic computation in a format accessible to esolang fans—not for simulating real quantum devices.

Language Specification

Quantum Registers

• QSOUP, QCAKE, QMEAT, QFISH (initialized to |0⟩)
• Each register represents a qubit

Quantum Instructions

• QSET <qreg> 0/1 — Initialize qubit to |0⟩ or |1⟩
• QHAD <qreg> — Apply Hadamard gate (put in superposition)
• QFLIP <qreg> — Apply X (NOT) gate
• QCNOT <control> <target> — Controlled-NOT entanglement
• QPHASE <qreg> <angle> — Phase shift gate
• QROT <qreg> <axis> <angle> — Arbitrary axis rotation
• QMEASURE <qreg> <reg> — Measure qubit, place result (0/1) into classical register
• QSPICE <reg> <label> — If result of QMEASURE is 1, jump to label

Quantum Stack Operations

• QBAKE <qreg> — Push qubit register onto quantum stack
• QCHOP <qreg> — Pop value from quantum stack into qubit register

Classical Integration

• All classical LLvlN instructions preserved and usable

Syntax Rules

• One instruction per line, case-insensitive, comments with #
• Qubit and classical registers are disjoint
• Classical and quantum instructions may be freely mixed (as allowed by type)

Example Programs

Bell State (Entangled Pair)

RECIPE
QSET QSOUP 0
QSET QCAKE 0
QHAD QSOUP
QCNOT QSOUP QCAKE
QMEASURE QSOUP SOUP
QMEASURE QCAKE CAKE
SERVE SOUP
SERVE CAKE
DONE

Quantum Coin Flip

RECIPE
QSET QSOUP 0
QHAD QSOUP
QMEASURE QSOUP SOUP
SERVE SOUP
DONE

Implementation Notes

• Qubit registers store idealized quantum states; QMEASURE result is probabilistic
• Simulate amplitudes or just probabilities; no genuine quantum computation is required
• Invalid operations or multiple consecutive measurements should error or be consistent per program run
• Type safety—classical/quantum registers must not be confused

Differences from LLvlN

• Adds qubit registers and quantum gate instructions
• Probabilistic and entangling control flow
• Blends quantum and classical operations

See Also

• LLvlN — Base language
• LLvlN-FLOAT — Floating-point variant
• LLvlN++ — Procedural/modern variant
• Quipper — Quantum esolang
• Q♯ — Mainstream quantum programming language