Quantum | Chess

The central thesis of this paper is that Quantum Chess is not a stochastic analog of chess but a distinct mathematical structure. While classical chess belongs to (solved via brute-force search), Quantum Chess introduces non-classical correlations that preclude direct tree search, placing it in a unique category of PQC-complete . 2. Mathematical Foundations 2.1 State Representation In classical chess, a board state ( S ) is a mapping from squares to pieces. In Quantum Chess, the state is a vector in a Hilbert space:

A player may move a piece from square ( A ) to ( B ) in superposition only if both paths are legal classical moves from distinct board states. The piece exists on ( A ) and ( B ) simultaneously. quantum chess

A player cannot copy the quantum state of a piece. Each piece is a unique qubit. The central thesis of this paper is that