#### Projects- Quantum computation and entanglement with ion strings
- Strongly interacting Fermi gases
- Dipolar quantum gases
- Quantum entanglement in higher-dimensional Hilbert spaces: foundations and applications
- Probing and controlling mesoscopic low-dimensional quantum systems
- Quantum agents, simulation and measurement-based computation
- Atom cavity QED
- Simulation of strongly correlated quantum systems
- Many-body quantum systems of cold atoms, molecules and ions
- A quantum switch for light
- Large-scale numerical simulations of quantum matter
- Entanglement in a CQED system
| # Quantum computation and entanglement with ion strings
#### Rainer Blatt Thomas Monz
This project targets the scalability of quantum algorithms to larger systems. Here, we will follow a two-fold approach by investigating error-correcting schemes in parallel to scaling up quantum algorithms and simulations to more than 5 ion-qubits. As a first step, we plan to realize techniques that reverse a projective measurement on a single qubit within a quantum register, entirely recreating the initial quantum state. We intend to extend our demonstrated techniques of quantum error correction towards color codes in an ion-trap quantum register. Here, implementations of novel tomographic techniques will be necessary to efficiently obtain the necessary data. We combine these techniques for a far-reaching goal within quantum computation: successfully implementing the order-finding algorithm based on a Kitaev approach. Here, an N-qubit quantum Fourier transform can be replaced by a single qubit and classical feed-forward, a technique that not only significantly reduces the number of required qubits but is also ideally suited for ion-trap quantum computation. | |