Many-body systems as resources for universal fault tolerant quantum computation
AI Breakdown
Get a structured breakdown of this paper — what it's about, the core idea, and key takeaways for the field.
Abstract
A universal quantum computer will inevitably rely on error correction to be fault tolerant. Most error correcting schemes are based on stabilizer circuits which fail to provide universal quantum computation. An extra quantum resource, in the form of magic states, is needed in conjunction with stabilizer circuits to perform universal quantum computation. However, creating, distilling, and preserving high quality magic states are not easy. Here, we show that quantum many-body systems are promising candidates to mine high quality magic states by considering transverse field anisotropic XY spin chains. In particular, we provide an analytic formula for the magic content of the qubits in the symmetry broken ground state of the XY spin chain, and show that there are two distinct scaling behaviors for magic near criticality. Moreover, we find an exact point in the phase diagram of the XY model at which every qubit of the system are pure H-states. This point represents a factorizable broken-symmetry ground state of the model. This is an excellent demonstration that many-body systems, even in the absence of ground state entanglement, are resourceful for fault tolerant universal quantum computation.