Heralded creation of photonic qudits from parametric down conversion using linear optics

Abstract

We propose an experimental scheme to generate, in a heralded fashion, arbitrary quantum superpositions of two-mode optical states with a fixed total photon number $n$ based on weakly squeezed two-mode squeezed state resources (obtained via weak parametric down conversion), linear optics, and photon detection. Arbitrary $d$-level (qudit) states can be created this way where $d=n+1$. Furthermore, we experimentally demonstrate our scheme for $n=2$. The resulting qutrit states are characterized via optical homodyne tomography. We also discuss possible extensions to more than two modes concluding that, in general, our approach ceases to work in this case. For illustration and with regards to possible applications, we explicitly calculate a few examples such as NOON states and logical qubit states for quantum error correction. In particular, our approach enables one to construct bosonic qubit error-correction codes against amplitude damping (photon loss) with a typical suppression of $\sqrt{n}-1$ losses and spanned by two logical codewords that each correspond to an $n$-photon superposition for two bosonic modes.

arXiv comment11 pages, 8 figures

References in corpus (16)

• Long-distance quantum communication with atomic ensembles and linear optics
• Quantum state reconstruction of the single-photon Fock state
• Generation of a superposition of odd photon number states for quantum information networks
• A Delayed Choice Quantum Eraser
• Progressive field-state collapse and quantum non-demolition photon counting
• Controllable generation of highly nonclassical states from nearly pure squeezed vacua
• Quantum-optical catalysis: generating "Schroedinger kittens" by means of linear optics
• Bosonic Quantum Codes for Amplitude Damping
• Quantum-optical state engineering up to the two-photon level
• Generating superposition of up-to three photons for continuous variable quantum information processing
• Homodyne tomography of a single photon retrieved on demand from a cavity-enhanced cold atom memory
• Quantum error correction against photon loss using NOON states
• Creation, storage, and on-demand release of optical quantum states with a negative Wigner function
• Generation and characterization of resource state for nonlinear cubic phase gate
• Remote preparation of arbitrary time-encoded single-photon ebits
• Generation and Eight-port Homodyne Characterization of Time-bin Qubits for Continuous-variable Quantum Information Processing

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