🌀 1. Theoretical Transport of Quantum States

Definition:
A quantum state is the complete description of a system at the quantum level, e.g., an electron, photon, or qubit. Transporting a quantum state means moving it from one location (or carrier) to another without measuring or destroying it.

🧠 A. Quantum Teleportation (Standard Procedure)

A well-known mechanism for transferring quantum states.
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1. Entanglement of two qubits A and B at different locations.
2. A third qubit (containing the state to be transferred).
3. A Bell Measurement at the source location.
4. Transfer of classical information.
5. Reconstruction of the state at the destination location using a conditional operation.

⚠️ The state "moves" not physically. What is transferred is the information that describes the state.

🧲 B. Adiabatic Transport

Using slowly changing fields to shift a quantum state along a system.
Example: Shifting an electron in a quantum dot using electrostatic potentials.

🌐 C. Optical or Photon-Based Transfer

Encoding states in photons and transmitting them through optical fibers or cavity resonators.
Also used as a carrier for flying qubits are known.

⚛️ 2. Binding quantum states to a (half) hydrogen molecule

A. What is a "half hydrogen molecule"?

A hydrogen molecule H₂ consists of two H atoms, i.e., two protons and two electrons. A "half" H₂ molecule is physically unstable—it is not stable. It is possibly meant metaphorically as:

A single proton and one electron (H atom),
An H₂⁺ ion, i.e. two protons and only one electron (an important transition state),
Or an entangled state, in which only part of the system serves as a carrier.

B. Binding Quantum States to Molecules

Quantum states can be imprinted on molecules through:

Electron spin of an electron in a molecule (such as H₂⁺).
Vibrational or rotational states of the molecule.
Orbital superposition states (superposed state in a molecular orbital).
Excitons, in which an electron-hole pair plays a role (especially in solids).

The quantum states can be locally encoded and manipulated, for example by lasers, microwaves, or electromagnetic fields.

C. How would this be done in practice?

Example process:

Initialization:
A hydrogen molecule is frozen in a quantum-mechanically controlled vacuum, e.g. B. by laser cooling.
Preparation:
A qubit (e.g., an electron spin) is placed in a defined state (e.g., by Rabi oscillation or optical pumping).
Binding:
By targeted coupling of the qubit to the molecule, e.g., using a near-field laser or tunnel coupling, the quantum state can be transferred to the molecule.
Transport (optional):
The molecule can now serve as a carrier, and the state can be "moved," e.g. B. in an ion trap array.

🧪 Summary in one sentence:

Quantum states can be moved by teleportation, entanglement, or optical transmission and stored in quantum-mechanically active molecular systems such as H₂⁺ or individual hydrogen atoms – for example, via spin, orbital, or vibrational states. provided the system is coherent, cooled, and precisely controllable.

If you'd like, I can also translate the whole thing into a futuristic concept or technical scheme (e.g., for science fiction or a paper).

The theoretical transport of quantum states