Add initial state and measurement abstractions for quantum circuits

[Copilot]

Abstracts quantum circuit initial states and measurements to provide unified interface for ITensors.jl simulation and quantikz visualization. Previously, initial states were passed as raw strings and measurements required manual MPS manipulation.

Initial State Abstraction

New AbstractInitialState hierarchy:

• BasisState: Computational basis states conforming to ITensors op names ("0", "1", "+", "-")
• NamedState: Custom LaTeX labels for visualization while maintaining ITensors compatibility
• ProductState: Per-qubit state specification

Mapping functions:

• to_itensor_state(state, nqubits) → Vector{String} for MPS initialization
• to_latex_label(state, qubit_idx) → LaTeX string for quantikz \lstick{}

Measurement Abstraction

New AbstractMeasurement hierarchy with measure(mps::MPS, m):

• ExpectationValue: Computes ⟨ψ|Ô|ψ⟩ for specified operators and qubits
• Sampling: Computational basis measurements with shot count
• ProjectiveMeasurement: Single-qubit projective measurement with state collapse

Circuit Structure Enhancement

QuantumCircuit now includes initial_states::Vector{AbstractInitialState} field:

• Defaults to [BasisState("0")] for backward compatibility
• execute_circuit uses circuit's initial states by default, overridable via init_state parameter
• to_quantikz and to_tikz_picture generate labels from initial states

N-Qubit Gate Support

Added general multi-qubit gates:

• MultiQubitGate: Arbitrary n-qubit gates with validation
• ParametricMultiQubitGate: N-qubit parametric gates

Example

# Custom initial states
initial = AbstractInitialState[
    NamedState("0", "\\psi"),
    BasisState("1")
]
circuit = QuantumCircuit(2, AbstractQuantumGate[], initial)
add_gate!(circuit, ControlledGate(1, 2, :CNOT))

# Simulation
sites = siteinds("Qubit", 2)
psi = execute_circuit(circuit, sites)

# Measurements
z_exp = measure(psi, ExpectationValue(:Z, [1]))
counts = measure(psi, Sampling(1000))

# Visualization with custom labels
println(to_quantikz(circuit))
# \lstick{\ket{\psi}} & ... 
# \lstick{\ket{1}} & ...

Backward Compatibility: All existing code continues to work. The init_state parameter in execute_circuit still functions as before.

Testing: 203 tests passing (89 new tests for abstractions)

Documentation: 8 comprehensive pages covering structures, initial states, measurements, ITensor conversion, quantikz visualization, and practical examples including Toffoli gate usage patterns.

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[sotashimozono]

まぁまぁいい感じ