  The article represents a new class of hidden symmetries in long sequences of
oligonucleotides of single stranded DNA from their representative set. These
symmetries are an addition to symmetries described by the second parity rule of
Chargaff. These new symmetries and their rules concern collective probabilities
of oligonucleotides from special tetra-groups and their subgroups in long
DNA-texts including complete sets of chromosomes of human and some model
organisms. These rules of tetra-group probabilities are considered as possible
candidacies for the role of universal rules of long DNA-sequences. A
quantum-informational model of genetic symmetries of these collective
probabilities is proposed on the basis of the known quantum-mechanic statement
that quantum state of a multicomponent system is defined by the tensor product
of quantum states of its subsystems. In this model, nitrogenous bases C, T, G,
A of DNA are represented as computational basis states of 2-qubit quantum
CTGA-systems. The biological meaning of these new quantum-information
symmetries of long DNA texts is associated with the common ability of all
living organisms to grow and develop on the basis of incorporation into their
body of new and new molecules of nutrients becoming new quantum-mechanic
subsystems of the united quantum-mechanic organism. An important role of
resonances, photons and photonic crystals in quantum information genetics is
noted.
