Type-safe quantum programming, consciousness modeling, and interdisciplinary research through pure functional programming
{-# LANGUAGE LinearTypes #-}
module HaskQ.Quantum where
import qualified HaskQ.Linear as L
-- | Type-safe quantum circuit with linear types
data Circ a where
Pure :: a -> Circ a
Bind :: Circ a -> (a %1-> Circ b) -> Circ b
-- | Quantum bit with linear typing
newtype Qubit = MkQubit Int
-- | Bell state creation with no-cloning safety
bellState :: Circ (Qubit, Qubit)
bellState = do
q1 <- createQubit Zero
q2 <- createQubit Zero
q1' <- hadamard q1
(q1'', q2') <- cnot q1' q2
pure (q1'', q2')
-- | Quantum Fourier Transform
qft :: [Qubit] %1-> Circ [Qubit]
qft [] = pure []
qft (q:qs) = do
qs' <- qft qs
q' <- foldM controlledRotation q (zip qs' [2..])
q'' <- hadamard q'
pure (q'' : qs')
-- | Consciousness modeling with monadic state
type ConsciousnessState = State AGDEFModel
type AGDEFModel = (InformationFlow, AttentionDynamics)Haskell's mathematical foundations, type safety, and compositional nature make it ideal for quantum computing, consciousness research, and theoretical physics modeling
Enforce quantum mechanics principles at compile time, preventing no-cloning violations and ensuring quantum circuits are mathematically sound.
Model consciousness dynamics through AGDEF theory using Haskell's monadic abstractions and category theory foundations.
Implement modified gravity theories, MOND dynamics, and theoretical physics models with functional purity and mathematical precision.
Real-world applications of functional programming in quantum computing, consciousness studies, and theoretical physics
Revolutionary type-safe quantum programming library leveraging Haskell's linear types to enforce quantum mechanics principles at compile time.
Mathematical frameworks for modeling consciousness through AGDEF theory, using Haskell's monadic abstractions and type system for rigorous analysis.
Functional implementations of modified gravity theories and MOND dynamics, exploring alternatives to dark matter through mathematical modeling.
Functional programming approaches to knowledge representation, preservation of esoteric wisdom, and hermetic philosophy through structured data systems.
See how we leverage Haskell's type system and mathematical foundations for cutting-edge research
-- Type-safe quantum algorithm composition deutschJozsa :: Int -> Circ [Qubit] deutschJozsa n = do -- Prepare input qubits in superposition inputs <- replicateM n (createQubit Zero >>= hadamard) -- Prepare ancilla qubit ancilla <- createQubit One >>= hadamard -- Apply oracle (function evaluation) (inputs', ancilla') <- oracle inputs ancilla -- Apply Hadamard to inputs outputs <- mapM hadamard inputs' -- Measure and return measured <- mapM measure outputs pure measured
-- AGDEF consciousness evolution model
evolveAwareness :: AGDEFState -> Information -> AGDEFState
evolveAwareness state info = runState computation state
where
computation = do
-- Update attention dynamics
attention <- gets attentionField
let newAttention = focusOn info attention
modify $ \s -> s { attentionField = newAttention }
-- Process information flow
informationFlow <- gets currentFlow
let updatedFlow = integrate info informationFlow
modify $ \s -> s { currentFlow = updatedFlow }
-- Calculate consciousness metric
awareness <- calculateAwareness
modify $ \s -> s { awarenessLevel = awareness }Discover how Haskell's mathematical foundations enable breakthrough research in quantum computing, consciousness studies, and theoretical physics.