Recoverability

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Mark M. Wilde - One of the best experts on this subject based on the ideXlab platform.

  • Recoverability for optimized quantum f divergences
    2020
    Co-Authors: Li Gao, Mark M. Wilde
    Abstract:

    The optimized quantum $f$-divergences form a family of distinguishability measures that includes the quantum relative entropy and the sandwiched Renyi relative quasi-entropy as special cases. In this paper, we establish physically meaningful refinements of the data-processing inequality for the optimized $f$-divergence. In particular, the refinements state that the absolute difference between the optimized $f$-divergence and its channel-processed version is an upper bound on how well one can recover a quantum state acted upon by a quantum channel, whenever the recovery channel is taken to be a rotated Petz recovery channel. Not only do these results lead to physically meaningful refinements of the data-processing inequality for the sandwiched Renyi relative entropy, but they also have implications for perfect reversibility (i.e., quantum sufficiency) of the optimized $f$-divergences. Along the way, we improve upon previous physically meaningful refinements of the data-processing inequality for the standard $f$-divergence, as established in recent work of Carlen and Vershynina [arXiv:1710.02409, arXiv:1710.08080]. Finally, we extend the definition of the optimized $f$-divergence, its data-processing inequality, and all of our Recoverability results to the general von Neumann algebraic setting, so that all of our results can be employed in physical settings beyond those confined to the most common finite-dimensional setting of interest in quantum information theory.

  • Recoverability for holevo s just as good fidelity
    2018
    Co-Authors: Mark M. Wilde
    Abstract:

    Holevo's just-as-good fidelity is a similarity measure for quantum states that has found several applications. One of its critical properties is that it obeys a data processing inequality: the measure does not decrease under the action of a quantum channel on the underlying states. In this paper, I prove a refinement of this data processing inequality that includes an additional term related to Recoverability. That is, if the increase in the measure is small after the action of a partial trace, then one of the states can be nearly recovered by the Petz recovery channel, while the other state is perfectly recovered by the same channel. The refinement is given in terms of the trace distance of one of the states to its recovered version and also depends on the minimum eigenvalue of the other state. As such, the refinement is universal, in the sense that the recovery channel depends only on one of the states, and it is explicit, given by the Petz recovery channel. Full version of this paper is accessible at arXiv:1801.02800

  • Recoverability for holevo s just as good fidelity
    2018
    Co-Authors: Mark M. Wilde
    Abstract:

    Holevo's just-as-good fidelity is a similarity measure for quantum states that has found several applications. One of its critical properties is that it obeys a data processing inequality: the measure does not decrease under the action of a quantum channel on the underlying states. In this paper, I prove a refinement of this data processing inequality that includes an additional term related to Recoverability. That is, if the increase in the measure is small after the action of a partial trace, then one of the states can be nearly recovered by the Petz recovery channel, while the other state is perfectly recovered by the same channel. The refinement is given in terms of the trace distance of one of the states to its recovered version and also depends on the minimum eigenvalue of the other state. As such, the refinement is universal, in the sense that the recovery channel depends only on one of the states, and it is explicit, given by the Petz recovery channel. The appendix contains a generalization of the aforementioned result to arbitrary quantum channels.

  • universal Recoverability in quantum information
    2016
    Co-Authors: Marius Junge, Mark M. Wilde, Renato Renner, David Sutter, Andreas Winter
    Abstract:

    The quantum relative entropy is well known to obey a monotonicity property (i.e., it does not increase under the action of a quantum channel). Here we present several refinements of this entropy inequality, some of which have a physical interpretation in terms of recovery from the action of the channel. The recovery channel given here is explicit and universal, depending only on the channel and one of the arguments to the relative entropy.

  • fidelity of recovery squashed entanglement and measurement Recoverability
    2015
    Co-Authors: Kaushik P Seshadreesan, Mark M. Wilde
    Abstract:

    This paper defines the fidelity of recovery of a quantum state on systems $A$, $B$, and $C$ as a measure of how well one can recover the full state on all three systems if system $A$ is lost and a recovery operation is performed on system $C$ alone. The surprisal of the fidelity of recovery (its negative logarithm) is an information quantity which obeys nearly all of the properties of the conditional quantum mutual information $I(A;B|C)$, including non-negativity, monotonicity with respect to local operations, duality, invariance with respect to local isometries, a dimension bound, and continuity. We then define a (pseudo) entanglement measure based on this quantity, which we call the geometric squashed entanglement. We prove that the geometric squashed entanglement is a 1-LOCC monotone, that it vanishes if and only if the state on which it is evaluated is unentangled, and that it reduces to the geometric measure of entanglement if the state is pure. We also show that it is invariant with respect to local isometries, subadditive, continuous, and normalized on maximally entangled states. We next define the surprisal of measurement Recoverability, which is an information quantity in the spirit of quantum discord, characterizing how well one can recover a share of a bipartite state if it is measured. We prove that this discord-like quantity satisfies several properties, including non-negativity, faithfulness on classical-quantum states, invariance with respect to local isometries, a dimension bound, and normalization on maximally entangled states. This quantity combined with a recent breakthrough of Fawzi and Renner allows to characterize states with discord nearly equal to zero as being approximate fixed points of entanglement breaking channels. Finally, we discuss a multipartite fidelity of recovery and several of its properties.

Yuichi Takasaki - One of the best experts on this subject based on the ideXlab platform.

Baoyu Gao - One of the best experts on this subject based on the ideXlab platform.

  • coagulation by titanium tetrachloride for fulvic acid removal factors influencing coagulation efficiency and floc characteristics
    2014
    Co-Authors: Yanxia Zhao, Baoyu Gao, Sherub Phuntsho, Guochen Zhang, Ho Kyong Shon
    Abstract:

    Abstract Coagulation efficiency of titanium tetrachloride (TiCl 4 ) was investigated for fulvic acid (FA) (as model organic matter) removal compared to traditional coagulants — iron chloride (FeCl 3 ) and aluminum sulfate (Al 2 (SO 4 ) 3 ). The growth, breakage and regrowth nature of flocs formed by the three coagulants were also comparatively evaluated under different coagulation conditions. Results indicated that TiCl 4 achieved higher removal of UV 278 (absorbance at 278 nm) and DOC (dissolved organic carbon) than FeCl 3 and Al 2 (SO 4 ) 3 , and TiCl 4 produced the largest flocs with the highest floc growth rate. The responses of floc to different operating parameters depend on the coagulant used, while the floc breakage and re-aggregation were also significantly influenced by shear force and break-up period. Floc strength decayed with the increasing shear force, while the inverse trend was observed for floc Recoverability. An extension in break-up period resulted in the deterioration of both floc strength and Recoverability regardless of the coagulants used. Flocs formed by TiCl 4 displayed the weakest Recoverability after breakage by contrast to conventional coagulants. Since TiCl 4 is only studied recently as a novel coagulant, the comparative study of coagulation performance and floc characteristics of TiCl 4 against the traditional coagulants provided valuable information for its wide application in the future.

  • floc characterization and membrane fouling of polyferric polymer dual composite coagulants in coagulation ultrafiltration hybrid process
    2013
    Co-Authors: Hongyan Rong, Baoyu Gao, Shenglei Sun, Yan Wang, Bei Zhang, Qinyan Yue
    Abstract:

    Abstract Papermaking sludge and spent pickling liquor were recycled to synthesize a macromolecular lignin-acrylamide polymer (LA) and polyferric chloride (PFC), respectively. The dual-coagulant PFC–LA (PFC and LA were dosed orderly), composite coagulant PFCLA (PFC and LA premixed before dosed) and PFC were used in coagulation/ultrafiltration hybrid process in surface water treatment. The objectives of this paper are to comparatively investigate final water quality after coagulation and coagulation/ultrafiltration process and floc properties, including floc size, strength, Recoverability and floc structure, with or without LA addition. Additionally, the relationship between membrane fouling and floc characteristics was discussed. The results showed that best final water quality was obtained by PFC–LA, sequentially followed by PFCLA and PFC. Floc size, growth rate, strength and Recoverability as well as fractal dimension were also in the order of PFC–LA > PFCLA > PFC. The maximum permeate fluxes before and after backwash operation were obtained by PFC–LA, which gave the largest and most compact flocs. Coagulation suspension after breakage resulted in much more serious membrane fouling for PFC, whereas permeate flux slightly decreased when LA was used in combination with PFC.

  • advanced lignin acrylamide water treatment agent by pulp and paper industrial sludge synthesis properties and application
    2013
    Co-Authors: Hongyan Rong, Yanxia Zhao, Baoyu Gao, Shenglei Sun, Yan Wang, Zhonglian Yang, Qinyan Yue
    Abstract:

    A novel flocculant LA (lignin-acrylamide polymer), which was used as aid for aluminum sulfate and polyaluminum chloride in this study, was prepared by grafting acrylamide onto lignin that deriving from pulp and papermaking sludge. Physicochemical properties of LA were measured by X-ray photoelectron spectroscopy and scanning electron microscopy. The experimental outcome indicated acrylamide was grafted onto the lignin backbone successfully. The effects of LA addition were evaluated on coagulation performance and floc characteristics as a function of aluminum (Al) dosage, such as floc size, growth rate, strength and Recoverability. Effects of different dosing sequences, Al dosed first and LA dosed first, were also investigated. LA used as coagulant aid markedly enhanced the removal efficiency of turbidity and dissolved organic carbon, especially at low Al dosages. The dissolved organic carbon removal efficiencies of aluminum sulfate and polyaluminum chloride at the Al dosage range selected in this study were improved more than 30% and 5% by LA, respectively. LA dramatically enlarged floc size and it was in the order: Al dosed first > LA dosed first > Al. Floc strength and Recoverability were also improved by LA. LA played a significant role in charge neutralization, adsorption and bridging in floc formation.

  • effect of dosing sequence and solution ph on floc properties of the compound bioflocculant aluminum sulfate dual coagulant in kaolin humic acid solution treatment
    2012
    Co-Authors: Baoyu Gao, Qinyan Yue, Yan Wang, Nana Peng, Yingcan Zhao
    Abstract:

    Abstract The compound bioflocculant (CBF)–aluminum sulfate (AS) dual-coagulant and AS were comparatively studied for the coagulation of kaolin–humic acid solution. Floc properties including floc growth rate, size, strength, Recoverability and fractal dimension under different pH conditions were investigated by Mastersizer 2000. Results indicated that, the flocs formed by AS–CBF (AS dosed first) showed the largest size and the best Recoverability across the pH range investigated. While flocs formed by CBF–AS gave the most compact structure. The three coagulants exhibited similar floc growth rate and strength. Moreover, flocs formed in acidic conditions were stronger and more recoverable but showed lower growth rate, smaller size and looser structure compared to those formed at pH > 6 regardless of the coagulant used. Charge neutralization was the dominant mechanism for AS at low pH, while the coagulation mechanism transformed to enmeshment as the pH increased. There was an additional adsorption bridging effect for AS–CBF and CBF–AS.

  • coagulation performance and floc properties of compound bioflocculant aluminum sulfate dual coagulant in treating kaolin humic acid solution
    2011
    Co-Authors: Baoyu Gao, Qinyan Yue, Yan Wang, Nana Peng, Yingcan Zhao
    Abstract:

    Abstract The coagulation performance and floc properties of compound bioflocculant (CBF)-aluminum sulfate (AS) dual-coagulant were compared with that of AS in the treatment of synthetic kaolin-humic (HA) water. Results showed that AS-CBF dual coagulant was more efficient for HA removal. The floc formation, breakage and reformation were investigated under different dosages and shear rates. Increasing coagulant dosage resulted in the increase of floc growth rate and size. But the floc Recoverability was found to decrease with increasing coagulant dosage. Furthermore, flocs formed by AS-CBF (AS dosed firstly) had faster growth rate, larger size and better Recoverability than AS and CBF-AS (CBF dosed firstly) in the dosage range investigated. Similar results were obtained when the shear force was changed. Precipitate charge neutralization was a dominant mechanism of AS, and CBF had good adsorption bridging effect. Due to the combination of two advantages, coagulation efficiency could be enhanced significantly.

Yingcan Zhao - One of the best experts on this subject based on the ideXlab platform.

  • effect of dosing sequence and solution ph on floc properties of the compound bioflocculant aluminum sulfate dual coagulant in kaolin humic acid solution treatment
    2012
    Co-Authors: Baoyu Gao, Qinyan Yue, Yan Wang, Nana Peng, Yingcan Zhao
    Abstract:

    Abstract The compound bioflocculant (CBF)–aluminum sulfate (AS) dual-coagulant and AS were comparatively studied for the coagulation of kaolin–humic acid solution. Floc properties including floc growth rate, size, strength, Recoverability and fractal dimension under different pH conditions were investigated by Mastersizer 2000. Results indicated that, the flocs formed by AS–CBF (AS dosed first) showed the largest size and the best Recoverability across the pH range investigated. While flocs formed by CBF–AS gave the most compact structure. The three coagulants exhibited similar floc growth rate and strength. Moreover, flocs formed in acidic conditions were stronger and more recoverable but showed lower growth rate, smaller size and looser structure compared to those formed at pH > 6 regardless of the coagulant used. Charge neutralization was the dominant mechanism for AS at low pH, while the coagulation mechanism transformed to enmeshment as the pH increased. There was an additional adsorption bridging effect for AS–CBF and CBF–AS.

  • coagulation performance and floc properties of compound bioflocculant aluminum sulfate dual coagulant in treating kaolin humic acid solution
    2011
    Co-Authors: Baoyu Gao, Qinyan Yue, Yan Wang, Nana Peng, Yingcan Zhao
    Abstract:

    Abstract The coagulation performance and floc properties of compound bioflocculant (CBF)-aluminum sulfate (AS) dual-coagulant were compared with that of AS in the treatment of synthetic kaolin-humic (HA) water. Results showed that AS-CBF dual coagulant was more efficient for HA removal. The floc formation, breakage and reformation were investigated under different dosages and shear rates. Increasing coagulant dosage resulted in the increase of floc growth rate and size. But the floc Recoverability was found to decrease with increasing coagulant dosage. Furthermore, flocs formed by AS-CBF (AS dosed firstly) had faster growth rate, larger size and better Recoverability than AS and CBF-AS (CBF dosed firstly) in the dosage range investigated. Similar results were obtained when the shear force was changed. Precipitate charge neutralization was a dominant mechanism of AS, and CBF had good adsorption bridging effect. Due to the combination of two advantages, coagulation efficiency could be enhanced significantly.

Qinyan Yue - One of the best experts on this subject based on the ideXlab platform.

  • floc characterization and membrane fouling of polyferric polymer dual composite coagulants in coagulation ultrafiltration hybrid process
    2013
    Co-Authors: Hongyan Rong, Baoyu Gao, Shenglei Sun, Yan Wang, Bei Zhang, Qinyan Yue
    Abstract:

    Abstract Papermaking sludge and spent pickling liquor were recycled to synthesize a macromolecular lignin-acrylamide polymer (LA) and polyferric chloride (PFC), respectively. The dual-coagulant PFC–LA (PFC and LA were dosed orderly), composite coagulant PFCLA (PFC and LA premixed before dosed) and PFC were used in coagulation/ultrafiltration hybrid process in surface water treatment. The objectives of this paper are to comparatively investigate final water quality after coagulation and coagulation/ultrafiltration process and floc properties, including floc size, strength, Recoverability and floc structure, with or without LA addition. Additionally, the relationship between membrane fouling and floc characteristics was discussed. The results showed that best final water quality was obtained by PFC–LA, sequentially followed by PFCLA and PFC. Floc size, growth rate, strength and Recoverability as well as fractal dimension were also in the order of PFC–LA > PFCLA > PFC. The maximum permeate fluxes before and after backwash operation were obtained by PFC–LA, which gave the largest and most compact flocs. Coagulation suspension after breakage resulted in much more serious membrane fouling for PFC, whereas permeate flux slightly decreased when LA was used in combination with PFC.

  • advanced lignin acrylamide water treatment agent by pulp and paper industrial sludge synthesis properties and application
    2013
    Co-Authors: Hongyan Rong, Yanxia Zhao, Baoyu Gao, Shenglei Sun, Yan Wang, Zhonglian Yang, Qinyan Yue
    Abstract:

    A novel flocculant LA (lignin-acrylamide polymer), which was used as aid for aluminum sulfate and polyaluminum chloride in this study, was prepared by grafting acrylamide onto lignin that deriving from pulp and papermaking sludge. Physicochemical properties of LA were measured by X-ray photoelectron spectroscopy and scanning electron microscopy. The experimental outcome indicated acrylamide was grafted onto the lignin backbone successfully. The effects of LA addition were evaluated on coagulation performance and floc characteristics as a function of aluminum (Al) dosage, such as floc size, growth rate, strength and Recoverability. Effects of different dosing sequences, Al dosed first and LA dosed first, were also investigated. LA used as coagulant aid markedly enhanced the removal efficiency of turbidity and dissolved organic carbon, especially at low Al dosages. The dissolved organic carbon removal efficiencies of aluminum sulfate and polyaluminum chloride at the Al dosage range selected in this study were improved more than 30% and 5% by LA, respectively. LA dramatically enlarged floc size and it was in the order: Al dosed first > LA dosed first > Al. Floc strength and Recoverability were also improved by LA. LA played a significant role in charge neutralization, adsorption and bridging in floc formation.

  • effect of dosing sequence and solution ph on floc properties of the compound bioflocculant aluminum sulfate dual coagulant in kaolin humic acid solution treatment
    2012
    Co-Authors: Baoyu Gao, Qinyan Yue, Yan Wang, Nana Peng, Yingcan Zhao
    Abstract:

    Abstract The compound bioflocculant (CBF)–aluminum sulfate (AS) dual-coagulant and AS were comparatively studied for the coagulation of kaolin–humic acid solution. Floc properties including floc growth rate, size, strength, Recoverability and fractal dimension under different pH conditions were investigated by Mastersizer 2000. Results indicated that, the flocs formed by AS–CBF (AS dosed first) showed the largest size and the best Recoverability across the pH range investigated. While flocs formed by CBF–AS gave the most compact structure. The three coagulants exhibited similar floc growth rate and strength. Moreover, flocs formed in acidic conditions were stronger and more recoverable but showed lower growth rate, smaller size and looser structure compared to those formed at pH > 6 regardless of the coagulant used. Charge neutralization was the dominant mechanism for AS at low pH, while the coagulation mechanism transformed to enmeshment as the pH increased. There was an additional adsorption bridging effect for AS–CBF and CBF–AS.

  • coagulation performance and floc properties of compound bioflocculant aluminum sulfate dual coagulant in treating kaolin humic acid solution
    2011
    Co-Authors: Baoyu Gao, Qinyan Yue, Yan Wang, Nana Peng, Yingcan Zhao
    Abstract:

    Abstract The coagulation performance and floc properties of compound bioflocculant (CBF)-aluminum sulfate (AS) dual-coagulant were compared with that of AS in the treatment of synthetic kaolin-humic (HA) water. Results showed that AS-CBF dual coagulant was more efficient for HA removal. The floc formation, breakage and reformation were investigated under different dosages and shear rates. Increasing coagulant dosage resulted in the increase of floc growth rate and size. But the floc Recoverability was found to decrease with increasing coagulant dosage. Furthermore, flocs formed by AS-CBF (AS dosed firstly) had faster growth rate, larger size and better Recoverability than AS and CBF-AS (CBF dosed firstly) in the dosage range investigated. Similar results were obtained when the shear force was changed. Precipitate charge neutralization was a dominant mechanism of AS, and CBF had good adsorption bridging effect. Due to the combination of two advantages, coagulation efficiency could be enhanced significantly.