Quantum error corrections for fermionic and bosonic systems
Robust storage and manipulation of quantum information in realistic quantum devices remains one of the central challenges in realizing practical quantum computation. To resolve this problem, the quantum error correction (QEC) is proposed as a technique to perform robust encoding and operations in noisy and realistic quantum devices. In the quantum realm, two fundamentally different types of particles—fermions and bosons—exhibit distinct behaviors.
Practical Applications for Partial Quantum Error Correction
Quantum computers have the theoretical potential to solve problems intractable for classical computers. However, realizing this potential requires dealing with the noise inherent in near and far-term devices. One way of doing this is to redundantly encode the quantum information in a quantum error-correcting code and manipulate the encoded states to do computation. Protecting quantum information in this way incurs additional space overhead in the form of extra qubits; this is problematic since qubits are a scarce resource, especially for near-term quantum computers.
Locality and Complexity in Quantum Information Dynamics
Locality constrains the flow of information between different parts of many-body quantum systems. In quantum computers, this affects the ability to perform arbitrary interactions for quantum information processing tasks. A crucial challenge for scalable quantum architectures is thus to minimize the overheads due to locality constraints. Additionally, locality constraints affect the way information and entanglement can be spread in many body quantum systems, and our ability to make predictions about such systems.