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Room-Temperature Quantum Memory for Polarization States Thomas Mittiga, Connor Kupchak, Bertus Jordaan, Mehdi Namazi, Christian Noelleke, Eden Figueroa Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794-3800, USA Future perspectives: Storage of entanglement Motivation • Practical implementation of a quantum memory is fundamental to realizing other quantum technologies. • Quantum functionality has only been proven using cold-atom and cyrogenically cooled systems. Such systems are resource-intensive. • Scalable Quantum Technology could benefit from room-temperature, easy-to-operate systems. 1) Write a probe photon using Electromagnetically-Induced Transparency. Room-Temperature Operation Introduction Quantum Memory Operation Entangled source Bell measurement Entangled source memory memory entangled Even with filtering, physical processes generate background-photons at the same frequency. Experimental Setup S P C M Etalon 2 λ/4 BD BD Etalon 1 λ/2 λ/4 FR λ/2 H-polarizer State Reconstruction Filtering - control/probe suppression ratio: 130dB λ/2 BD Diode laser λ/2 λ/4 BD GLP 87 Rb-cell λ/2 λ/4 GLP BD Attenuators EIT Memory Polarization Preparation <n> polarized photons measured before BD L M Background Analysis 0 20 40 60 80 100 0 0.02 0.04 0.06 Counts/ pulse Retrieval control field power (mW) 0 20 40 60 80 100 0 0.05 0.1 0.15 Storage efficiency 0 20 40 60 80 100 0 1 2 3 SBR SBR η ROI Retrieval control field power (mW) The background may have three components: 1) Control field leakage through the filtering (technical noise, Red Dots). 2) Four-Wave Mixing (FWM). 3) Spontaneous emission. Green Dots: Total background detected (all components). Purple Dots: Background minus leakage. Red Line: Fitting of a function . { 6.835 GHz Background photon arXiv:1304.2264. The good fit to the data indicates that FWM is the primary process preventing optimal SBR at the optimal efficiency. POWER Ω C 0 1 2 3 4 5 6 7 0 1000 2000 3000 4000 Time (µs) Integrated counts 5000 Storage signal Background signal A Quantum Technology‘s mass reproducibility is key to its large-scale employment. <n>= 6 SBR = 0.84 Expected Single-Photon SBR = 0.14 5 S 2 1/2 5 P 2 1/2 795nm F=2 F=1 F=2 F=1 Δ 815MHz 6.834GHz 100MHz Rb D1-Line @ 795nm 87 Storage at the single-photon level 0 1 2 3 4 5 6 7 0 1000 2000 3000 4000 Time (µs) Integrated counts Storage signal Background signal Absorbed probe (with Cell) Transmitted probe (No Cell) ROI: Signal ROI: Background Storage experiments: • Probe pulse: <n>=1.6, 1μs long • SBR obtained by comparing counts in the ROI displayed; Efficiency by comparing the signal ROI to the transmitted probe. EIT Configuration using 3) Retrieve 2) Map polsrization qubits onto a collective atomic excitation. BD BD HWP HWP Control Rb Vapor Cell AOM Control field Quantum State PPKTP BBO Diode Laser Diode Laser Diode Laser 6.8 GHz Phase Lock 1.2 GHz phase lock tuned to Rubidium 1:1 transition off atomic resonance but in resonance with cavity stored quantum state Remaining Issues: Further noise-reduction Cascade multiple memories Store with lowest possible photon bandwidth • This technique requires colinear fields, which presents the challenge of filtering 10 control photons. Bottleneck: Low signal to background ratio AOM: Acusto-optical modulators; BD: Beam displacers; GLP: Glan-Laser-Polarizer; FR: Faraday rotator; SPCM: Single-Photon-Counting-Module; L: Lens; M: Mirror. Probe: red beam paths; control: yellow beam paths 12 Fidelity Scaling with SBR AV <n>=1.1 <n>=16 <n>=2.1 <n>=2.7 <n>=4.0 <n>=5.5 <n>=6.8 <n>9.4 <n>=11.1 <n>=13.6 0 2 4 6 8 10 0.5 0.6 0.7 0.8 0.9 1 SBR Fidelity AV Green Dots: Fidelity between transmitted unstored and input states Blue Dots: Fidelity between stored states and input states Red Line: The result of the theortetical model with experimentally- measured values η = 0.055 and q = 0.005 The scaling of fidelity with SBR can be understood by a theoretical model considering a dual-rail memory and assuming each rail is a Poissonian source of uncorrelated signal and background photons: , where n and m are the number of photons produced, and p and q are the averages of the distributions. The probabilities of detection are: So the Fidelity is Storage of Polarization Qubits Poincaré Sphere: (Left) transmitted input state (bold colors) and rotated input states (light colors). (Right) stored and retrieved output. 0 50 100 150 Time (µs) A η=3.8% R η=5.6% L η=5.9% H η=7.9% V η=5.3% D η=4.6% Background 0 1 2 3 4 5 6 7 <n>=1.6 Stokes vectors reconstructed for each polarization: S and S are input and output vectors used to calculate Fidelity in out Input H V D A R L Average SBR 1.68 1.1 1.27 1.15 1.53 1.38 1.35±0.9 Fidelity (%) 71.3 79 69.2 71.4 70.2 67.6 71.5±1.6 Eciency ( η)(%) 7.9 5.3 4.6 3.8 5.6 5.9 5.5±0.6 arXiv:1405.6117 arXiv:1405.6117 arXiv:1405.6117 arXiv:1405.6117

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Room-Temperature Quantum Memory for Polarization StatesThomas Mittiga, Connor Kupchak, Bertus Jordaan, Mehdi Namazi, Christian Noelleke, Eden Figueroa

Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794-3800, USA

Future perspectives: Storage of entanglement

Motivation • Practical implementation of a quantum memory is fundamental to realizing other quantum technologies.

• Quantum functionality has only been proven using cold-atom and cyrogenically cooled systems. Such systems are resource-intensive.

• Scalable Quantum Technology could benefit from room-temperature, easy-to-operate systems.

1) Write a probe photon using Electromagnetically-Induced Transparency.

Room-Temperature Operation

Introduction Quantum Memory Operation

Entangledsource

Bellmeasurement

Entangledsource

memory memory

entangled

• Even with filtering, physical processes generatebackground-photons at the same frequency.

Experimental Setup

S P C M

Etalon 2λ/4

BD BD

Etalon 1 λ/2 λ/4

FR

λ/2H-polarizer

State Reconstruction Filtering - control/probe suppression ratio: 130dB

λ/2

BDDiode laser

λ/2 λ/4BD GLP

87Rb-cellλ/2 λ/4

GLP BD

Attenuators

EIT Memory

Polarization Preparation

<n> polarized photonsmeasured before BD

L

M

Background Analysis

0 20 40 60 80 1000

0.02

0.04

0.06

Coun

ts/ p

ulse

Retrieval control eld power (mW)0 20 40 60 80 100

0

0.05

0.1

0.15St

orag

e e

cien

cy

0 20 40 60 80 1000

1

2

3

SBR

SBRη

ROI

Retrieval control eld power (mW)

The background may have three components: 1) Control field leakage through the filtering (technical noise, Red Dots). 2) Four-Wave Mixing (FWM). 3) Spontaneous emission.

Green Dots: Total background detected (all components).Purple Dots: Background minus leakage.Red Line: Fitting of a function . 6.835 GHz

Backgroundphoton

arXiv:1304.2264.The good t to the data indicates that FWMis the primary process preventing optimal

SBR at the optimal eciency.

∝√POWERΩC

0 1 2 3 4 5 6 70

1000

2000

3000

4000

Time (µs)

Inte

grat

ed c

ount

s

5000Storage signalBackground signal

A Quantum Technology‘s mass reproducibilityis key to its large-scale employment.

<n>= 6SBR = 0.84Expected Single-Photon SBR = 0.14

5 S21/2

5 P21/2

795nm

F=2

F=1

F=2

F=1

Δ

815MHz

6.834GHz

100MHz

Rb D1-Line @ 795nm87

Storage at the single-photon level

0 1 2 3 4 5 6 70

1000

2000

3000

4000

Time (µs)

Inte

grat

ed c

ount

s

Storage signalBackground signalAbsorbed probe (with Cell)Transmitted probe (No Cell)

ROI:Signal

ROI:Background

Storage experiments:• Probe pulse: <n>=1.6, 1μs long• SBR obtained by comparing counts in the ROI displayed; Efficiency by comparing the signal ROI to the transmitted probe.

EIT Configuration using

3) Retrieve

2) Map polsrization qubits onto a collective atomic excitation.

BDBDHWP HWP

ControlRb Vapor Cell

AOM

Controlfield

Quantum State

PPKTP

BBO

Diode Laser

Diode Laser

Diode Laser

6.8 GHz Phase Lock

1.2

GH

z ph

ase

lock

tuned to Rubidium1:1 transition

off atomic resonancebut in resonance withcavity

storedquantumstate

Remaining Issues:• Further noise-reduction • Cascade multiple memories• Store with lowest possible photon bandwidth

• This technique requires colinear fields, which presents the challenge of filtering 10 control photons.

Bottleneck: Low signal to background ratio

AOM: Acusto-optical modulators; BD: Beam displacers; GLP: Glan-Laser-Polarizer; FR: Faraday rotator; SPCM: Single-Photon-Counting-Module; L: Lens; M: Mirror. Probe: red beam paths; control: yellow beam paths

12

Fidelity Scaling with SBR

AV

<n>=1.1

<n>=16

<n>=2.1

<n>=2.7

<n>=4.0

<n>=5.5

<n>=6.8

<n>9.4

<n>=11.1

<n>=13.6

0 2 4 6 8 100.5

0.6

0.7

0.8

0.9

1

SBR

Fide

lity A

V

Green Dots: Fidelity between transmitted unstored and input statesBlue Dots: Fidelity between stored states and input statesRed Line: The result of the theortetical model with experimentally-measured values η = 0.055 and q = 0.005

The scaling of fidelity with SBR can be understood by a theoretical model considering a dual-rail memory and assuming each rail is a Poissonian source of uncorrelated signal and background photons:

,

where n and m are the number of photons produced, and p and q are the averages of the distributions.The probabilities of detection are:

So the Fidelity is

Storage of Polarization Qubits

Poincaré Sphere:(Left) transmitted input state (bold colors) and rotatedinput states (light colors).(Right) stored and retrieved output.

0

50

100

150

Time (µs)

A η=3.8%R η=5.6% L η=5.9%

H η=7.9% V η=5.3%D η=4.6%

Background

0 1 2 3 4 5 6 7

<n>=1.6

Stokes vectors reconstructed for each polarization:S and S are input and output vectors used to calculate Fidelity

in out

Input H V D A R L Average SBR 1.68 1.1 1.27 1.15 1.53 1.38 1.35±0.9

Fidelity (%) 71.3 79 69.2 71.4 70.2 67.6 71.5±1.6 Efficiency (η)(%) 7.9 5.3 4.6 3.8 5.6 5.9 5.5±0.6

arXiv:1405.6117

arXiv:1405.6117

arXiv:1405.6117

arXiv:1405.6117