Yes, there is a relationship between string theory and quantum states/properties. In fact, string theory is often regarded as a candidate for a theory of quantum gravity, aiming to reconcile general relativity (describing gravity) with quantum mechanics.
In quantum mechanics, particles are described by wavefunctions that represent the probabilities of different states. These wavefunctions can be in a superposition of multiple states, and the measurement of a quantum system collapses the wavefunction to a particular state with a certain probability. Quantum mechanics also introduces the concept of uncertainty, where certain pairs of properties, such as position and momentum, cannot be precisely known simultaneously.
String theory, on the other hand, suggests that fundamental particles are not point-like objects but rather tiny, one-dimensional strings. These strings can vibrate in different modes, and the specific vibrational pattern determines the properties and behavior of the particles. The vibrational modes of the string correspond to different energy states, which are analogous to the quantum states of particles in quantum mechanics.
The behavior of strings in string theory is governed by the principles of quantum mechanics. String theory incorporates quantum mechanics into its framework, including the superposition principle and the uncertainty principle. The strings' vibrations give rise to particle-like excitations, which can be described using quantum mechanical techniques.
Furthermore, string theory also incorporates gravity by describing it as the curvature of spacetime caused by the presence of strings. This is an important aspect because general relativity, which describes gravity, is a classical theory and does not incorporate the principles of quantum mechanics. String theory attempts to unite gravity and quantum mechanics by providing a consistent quantum description of gravity.
Overall, string theory and quantum mechanics are deeply interconnected. String theory builds upon the principles of quantum mechanics while attempting to incorporate gravity, ultimately seeking a unified framework that can describe the behavior of fundamental particles and the nature of spacetime at a quantum level.