Jonas Neergaard-Nielsen PRO
Associate Professor @ DTU Physics, Denmark
Particle and wave:
Quantum information processing
with non-Gaussian light
Jonas Neergaard-Nielsen, bigQ - DTU Physics
Vision:
...to advance our understanding of macroscopic quantum effects and to exploit these macroscopic effects for demonstrating quantum supremacy
DNRF Center for Macroscopic Quantum States
quadrature operators:
x,p→x^,p^
x,p \rightarrow \hat{x}, \hat{p}
continuous variables for light
[x^,p^]=iℏ
[\hat{x}, \hat{p}]=i\hbar
ΔxΔp≥2ℏ
\Delta x\Delta p \ge \frac{\hbar}{2}
x,p→x^,p^
x,p \rightarrow \hat{x}, \hat{p}
quadrature operators:
quadrature operators:
x,p→x^,p^
x,p \rightarrow \hat{x}, \hat{p}
Gaussian states: Gaussian Wigner functions
squeezed
thermal
coherent
Gaussian operations: maintain Gaussianity
- most light is naturally Gaussian
- easy to do (experiment)
- easy to describe (theory)
- deterministic
quadrature squeezing
ΔxΔp≥21
\Delta x\Delta p \ge \frac{1}{2}
quadrature squeezing
squeezer (OPO)
applications of squeezed light
sensing:
- enhanced sensitivity in quantum-limited measurements, e.g. LIGO
quantum information:
- quantum teleportation
- state encoding
LIGO collaboration, Nature Photonics 7, 613 (2013)
squeezed posters - please enjoy tonight!
Casper Rubæk Breum
Distributed phase sensing
with 4-mode entanglement
Jens Arnbak
Extreme squeezing - towards 20 dB
Gaussian CV-QIP
- most light is naturally Gaussian
- easy to do (experiment)
- easy to describe (theory)
- deterministic
- NO universal quantum computation
- NO entanglement distillation
- NO error correction of Gaussian noise
Many experimental successes:
- quantum key distribution
- teleportation
- quantum memory
- various gates
- cluster state generation
- ...
non-Gaussian element needed to complete CV-QIP
+
the simplest: single photon detector
entanglement distillation by photon detection
H Takahashi, JSNN, M Takeuchi, M Takeoka, K Hayasaka, A Furusawa & M Sasaki, Nature Photonics 4, 178 (2010)
create non-Gaussian states by subtracting photons
JSNN, BM Nielsen, C Hettich, K Mølmer & ES Polzik, PRL 97, 083604 (2006)
- and many others since then
S^∣0⟩→a^S^∣0⟩∝S^∣1⟩
\hat{S}|0\rangle \rightarrow \hat{a}\hat{S}|0\rangle\propto\hat{S}|1\rangle
squeezed qubits
cos2θS^∣0⟩+eiϕsin2θS^∣1⟩
\cos\frac{\theta}{2} \hat{S} |0\rangle + e^{i\phi} \sin\frac{\theta}{2} \hat{S} |1\rangle
S^∣0⟩
\hat{S} |0\rangle
S^∣1⟩
\hat{S} |1\rangle
ambiguous photon subtraction (PS)
arbitrary superposition of PS and no-PS squeezed vacuum:
JSNN, M Takeuchi, K Wakui, H Takahashi, K Hayasaka,
M Takeoka & M Sasaki, PRL 105, 053602 (2010)
Schrödinger kittens
Squeezed photon is very similar to small-amplitude "Schrödinger cat" state, a superposition of clearly distinguishable coherent states
S^∣1⟩
\hat{S}|1\rangle
∣α⟩−∣−α⟩
|\alpha\rangle - |{-\alpha}\rangle
towards macroscopic quantum superpositions
larger states
more modes
massive physical systems
larger states
more modes
massive physical systems
micro-macro entangled states
micro-macro entangled states
UL Andersen & JSNN, PRA 88, 022337 (2013)
∣Ψ⟩=(∣0⟩+∣1⟩)∣ψ+⟩+(∣0⟩−∣1⟩)∣ψ−⟩
|\Psi\rangle =
(|0\rangle + |1\rangle)|\psi^+\rangle + (|0\rangle - |1\rangle)|\psi^-\rangle
∣ψ−⟩
|\psi^-\rangle
∣ψ+⟩
|\psi^+\rangle
larger states
more modes
massive physical systems
non-Gaussian cluster states
non-Gaussian cluster states
measurement-based quantum computation paradigm:
multimode-entanglement + measurement and feed-forward
Implement with temporal and spatial modes in fibres
- based on scheme by N. Menicucci, demonstrated in A. Furusawa lab:
S Yokoyama et al., Nature Photonics 7, 982 (2013)
non-Gaussian cluster states
larger states
more modes
massive physical systems
"mechanical kittens"
"mechanical kittens"
grand goal: bring mechanical object in superposition of being "here" and "there"
H^int=−ℏg0a^†a^(b^+b^†)
\hat{H}_{\mathrm{int}} = -\hbar g_0 \hat{a}^\dagger\hat{a}(\hat{b}+\hat{b}^\dagger)
cavity opto-mechanical interaction: radiation pressure / phase shift
"mechanical kittens"
"mechanical kittens"
blessing and curse: large superpositions are extremely fragile and sensitive to e.g. phase noise - may be used for probing decoherence effects
UB Hoff, J Kollath-Bönig, JSNN, UL Andersen, PRL 117, 143601 (2016)
conclusion
non-Gaussian quantum optics have rich applications in
fundamental quantum mechanics
and quantum information processing
QPIT / bigQ
Xueshi Guo
Shuro Izumi
Dennis Høj
Kristian-Rasmussen
Jan Bilek
Casper Breum
Joost van der Heijden
Ulrik Andersen
Mikkel Larsen, Ulrich Hoff, Jens Arnbak
Thank you!
Particle and wave: Quantum information processing with non-Gaussian light Jonas Neergaard-Nielsen, bigQ - DTU Physics
Particle and wave: Quantum information processing with non-Gaussian light
By Jonas Neergaard-Nielsen
Particle and wave: Quantum information processing with non-Gaussian light
DFS annual meeting 2018
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