Connecting Qubits with Sound

Tobias Schaetz

Satofumi Souma

We present a web-based interactive music system that generates sound through the framework of twoplayer quantum game theory. Two users connect via a internet browser interface, select quantum strategies, and trigger notes by pressing piano keys. Each input initiates a two-qubit circuit whose measurement probabilistically collapses into one of four outcomes, each linked to a payoff pair inspired by the Prisoner’s Dilemma. These sampled payoffs determine pitch shifts relative to a neutral baseline, producing distinct sounds for each player.The system provides real-time visual and auditory feedback, allowing participants to perceive how their own strategies intertwine with those of their opponent through quantum interference and measurement. Beyond applications in music and education, the framework also models improvisatory interplay-akin to jazz performance-where each player’s decision reshapes the shared horizon of possible outcomes. This platform opens new avenues for exploring quantum games, human-computer interaction, and entangled decision-making through sound.

Daniel J. Lehmann

This paper presents a substructural logic of sequents with very restricted exchange and weakening rules. It is sound with respect to sequences of measurements of a quantic system. A sound and complete semantics is provided. The semantic structures include a binary relation that expresses orthogonality between elements and enables the definition of an operation that generalizes the projection operation in Hilbert spaces. The language has a unitary connective, a sort of negation, and two dual binary connectives that are neither commutative nor associative, sorts of conjunction and disjunction. This provides a logic for quantum measurements whose proof theory is aesthetically pleasing.

Bob Coecke, Giovanni de Felice, Konstantinos Meichanetzidis +1 more

Cheryl Seow

Martin Fliesser, Robert Graham

We derive a symmetry property for the Fourier transform of the collisionless sound modes of Bose condensates in anisotropic traps connected with a somewhat hidden conservation law. We discuss its possible observation by dispersive light scattering.